Sunday, March 22, 2020

FRANK Solutions for Class 9 Maths Chapter 24 - Perimeter and Area


Chapter 24 - Perimeter and Area Exercise Ex. 24.1

Question 1
Find the area of a triangle whose base is 3.8 cm and height is 2.8 cm.
Solution 1
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 2
Find the area of the shaded region in the figure as shown, in which DPQS is an equilateral triangle and PQR = 90°.
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Solution 2
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 3
The area of an equilateral triangle is numerically equal to its perimeter. Find the length of its sides, correct two decimal places.
Solution 3
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 4
In a right-angled triangle PQR right-angled at Q, QR = x cm, PQ = (x + 7) cm and area = 30 cm2. Find the sides of the triangle.
Solution 4
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 5
In a right-angled triangle ABC, if B = 90°, AB - BC = 2 cm; AC - BC = 4 and its perimeter is 24 cm, find the area of the triangle.
Solution 5
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 6
Find the area of a triangle whose sides are 27 cm, 45 cm and 36 cm.
Solution 6
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 7
Find the area of an isosceles triangle ABC in which AB = AC = 6 cm, A = 90°. Also, find the length of perpendicular from A to BC.
Solution 7
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area 
Question 8
Find the area of an equilateral triangle of side 20 cm.
Solution 8
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 9
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 9
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 10
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 10
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 11
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 11
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 12
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 12
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 13
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 13
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 14
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 14
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 15
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 15
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 16
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 16
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 17
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 17
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 18
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 18
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 19
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 19
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 20
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 20
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Chapter 24 - Perimeter and Area Exercise Ex. 24.2

Question 1
The side of a square is of length 20 mm. Find its perimeter in cm.
Solution 1
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 2
In a rectangle ABCD, AB = 7 cm and AD = 25 cm. Find the height of a triangle whose base is AB and whose area is two times the area of the rectangle ABCD.
Solution 2
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 3
Two adjacent sides of a parallelogram are 34 cm and 20 cm. If one of its diagonal is 42 cm, find:
a. area of the parallelogram.
b. distance between its shorter sides
Solution 3
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 4
A rectangular floor 45 in long and 12 m broad is to be paved exactly with square tiles, of side 60 cm. Find the total number of tiles required to pave it.
If a carpet is laid on the floor such as a space of 50 cm exists between its edges and the edges of the floor, find what fraction of the floor is uncovered.
Solution 4
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 5
The area of a square is 36 cm2. How long are its sides?
Solution 5
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 6
Find the perimeter and area of a square whose diagonal is 5Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Areacm. Give your answer correct to two decimal places if Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area= 1.414.
Solution 6
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 7
The sides of a rectangle are 5 cm and 3 cm respectively. Find its area in mm2.
Solution 7
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 8
The area of a rhombus is 234 cm2. If its one diagonal is 18 cm, find the lengths of its side and the other diagonal. Also, find perimeter of the rhombus.
Solution 8
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 9
The floor of a room is of size 6 m x 5 m. Find the cost of covering the floor of the room with 50 cm wide carpet at the rate of Rs.24.50 per metre. Also, find the cost of carpeting the same hall if the carpet, 60 cm, wide, is at the rate of Rs.26 per metre.
Solution 9
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 10
A footpath of uniform width runs all around the inside of a rectangular garden of 40 m x 30 m. If the path occupies 136 m2, find the width of the path.
Solution 10

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 11
Find the area and perimeter of the given figure.
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 11

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 12
How many tiles, each of area 625 cm2, will be needed to pave a footpath which is 1 m wide and surrounds a grass plot of size 38 m x 14 m?
Solution 12
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 13
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area 
Solution 13

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 14
A wire when bent in the form of a square encloses an area of 16 cm2. Find the area enclosed by it when the same wire is bent in the form of
a. a rectangle whose sides are in the ratio of 1 : 3.
b. an equilateral triangle
Solution 14
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 15
Find the shaded area in the given figure.


Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 15

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 16
Find the area of each of the following figure:

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 16

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 17
Find the area of each of the following figure:

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area 

Solution 17
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 18
Find the area of each of the following figure:

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 18
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 19
Find the area of each of the following figure:
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 19
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 20
Find the area of quadrilateral, whose diagonals of lengths 18 cm and 13 cm intersect each other at right angle.
Solution 20
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 21
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 21
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 22
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 22
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 23
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 23
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 24
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 24
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 25
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 25
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 26
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 26
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 27
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 27
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 28
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 28
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 29
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 29
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 30
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 30
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 31
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 31
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 32
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 32
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 33
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 33
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 34
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 34
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 35
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 35
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 36
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 36
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 37
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 37
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 38
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 38
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 39
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 39
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 40
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 40
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 41
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 41
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 42
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 42
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 43
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 43
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 44
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 44
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 45
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 45
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 46
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 46
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 47
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 47
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 48
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 48
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 49
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 49
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 50
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 50
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Chapter 24 - Perimeter and Area Exercise Ex. 24.3

Question 1
The diameter of two circles are 28 cm and 24 cm. Find the circumference of the circle having its area equal to sum of the areas of the two circles.
Solution 1
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 2
The radii of two circles are in the ratio 5 : 8. If the difference between their areas is 156p cm2, find the area of the bigger circle.
Solution 2
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 3
The diameters of three wheels are in the ratio 2 : 4 : 8. If the sum of the circumferences of these circles be 132 cm, find the difference between the areas of the largest and the smallest of these wheels.
Solution 3
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 4
The area of the circular ring enclosed between two concentric circles is 88 cm2. Find the radii of the two circles, if their difference is 1 cm.
Solution 4
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 5
The sum of the radii of two circles is 10.5 cm and the difference of their circumferences is 13.2 cm. Find the radii of the two circles.
Solution 5
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 6
A square is inscribed in a circle of radius 6 cm. Find the area of the square. Give your answer correct to two decimal places ifFrank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area= 1.414.
Solution 6
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 7
The cost of fencing a circular field at the rate of Rs.250 per metre is Rs.55000. The field is to be ploughing at the rate of Rs.15 per m2. Find the cost of ploughing the field.
Solution 7
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 8
The circumference of a circle exceeds its diameter by 450 cm. Find the area of the circle.
Solution 8
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 9
The circumference of a circle is numerically equal to its area. Find the area and circumference of the circle.
Solution 9
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 10
The sum of the circumference and diameter of a circle is 176 cm. Find the area of the circle.
Solution 10
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 11
Find the radius and area of the circle which has circumference equal to the sum of circumferences of the two circles of radii 3 cm and 4 cm respectively.
Solution 11
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 12
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 12
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 13
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 13
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 14
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 14
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 15
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 15
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 16
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 16
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 17
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 17
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 18
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 18
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 19
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 19
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 20
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 20
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 21
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 21
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 22
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 22
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 23
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 23
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 24
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 24
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 25
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 25
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 26
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 26
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 27
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 27
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 28
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 28
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 29
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 29
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 30
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 30
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 31
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 31
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 32
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 32
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 33
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 33
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 34
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 34
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 35
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 35
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Question 36
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area
Solution 36
Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

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