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

Gain more confidence in solving triangle-based problems with our Frank Solutions for ICSE Class 9 Mathematics Chapter 24 Perimeter and Area. TopperLearning is one of the best e-learning portal to find accurate textbook solutions by subject experts. Make use of the chapter-specific solutions to revise problems involving finding the height of a triangle or the area of a quadrilateral.

Practise calculating the area of an equilateral triangle or an isosceles triangle with our ICSE Class 9 Maths Frank textbook solutions. Further, study the area of a given figure by understanding the shapes that are part of the figure. If you are confused with the concepts, you can look for help in our ‘UnDoubt’ section.

Page / Exercise

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 a triangle whose sides are 27 cm, 45 cm and 36 cm.

Solution 2

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 3

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 3

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 4

Find the area of an equilateral triangle of side 20 cm.

Solution 4

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 5

Solution 5

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 6

Solution 6

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 7

Solution 7

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 8

Solution 8

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 9

Solution 9

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 10

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 10

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 11

The area of an equilateral triangle is numerically equal to its perimeter. Find the length of its sides, correct two decimal places.

Solution 11

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 12

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 12

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 13

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 13

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 14

Solution 14

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 15

Solution 15

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 16

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

Solution 18

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 19

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

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

The area of a square is 36 cm². How long are its sides?

Solution 2

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 3

The sides of a rectangle are 5 cm and 3 cm respectively. Find its area in mm².

Solution 3

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 4

Find the area and perimeter of the given figure.

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Solution 4

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 5

Find the shaded area in the given figure.

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Solution 5

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 6(a)

Find the area of each of the following figure:

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Solution 6(a)

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 6(b)

Find the area of each of the following figure:

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Solution 6(b)

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 6(c)

Find the area of each of the following figure:

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Solution 6(c)

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 6(d)

Find the area of each of the following figure:

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Solution 6(d)

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 7

Solution 7

Question 8

Solution 8

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 9

Find the area of quadrilateral, whose diagonals of lengths 18 cm and 13 cm intersect each other at right angle.

Solution 9

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 10

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 10

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 11

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 11

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 12

Solution 12

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

Solution 14

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 15

Solution 15

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 16

Solution 16

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 17

Solution 17

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 18

Solution 18

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 19

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 19

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 20

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

Solution 22

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 23

Find the perimeter and area of a square whose diagonal is 5cm. Give your answer correct to two decimal places if = 1.414.

Solution 23

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 24

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

Solution 29

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 30

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 30

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 31

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

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 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

Question 39

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 39

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 40

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 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

Solution 44

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 45

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 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

Chapter 24 - Perimeter and Area Exercise Ex. 24.3

Question 1

Solution 1

Question 2

Solution 2

Question 3

Solution 3

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 4

Solution 4

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 5

Solution 5

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 6

The circumference of a circle exceeds its diameter by 450 cm. Find the area of the circle.

Solution 6

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 7

The circumference of a circle is numerically equal to its area. Find the area and circumference of the circle.

Solution 7

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 8

The sum of the circumference and diameter of a circle is 176 cm. Find the area of the circle.

Solution 8

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 9

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 9

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 10

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 10

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 11

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 11

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 12

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 12

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 13

Solution 13

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 14

Solution 14

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 15

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

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

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 19

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 20

Solution 20

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 21

Solution 21

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 22

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

Solution 24

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 25

Solution 25

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 26

Solution 26

Question 27

Solution 27

Question 28

Solution 28

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 29

Solution 29

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 30

Solution 30

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 31

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 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

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 if= 1.414.

Solution 33

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area

Question 34

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 34

Frank Solutions Icse Class 9 Mathematics Chapter - Perimeter And Area