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Chapter 11

Perimeter and Area

MathematicsClass 7CBSE

23 Questions Available

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1

The perimeter of a rectangular field is 240 m. If its length is 90 m, find:

(i) it’s breadth

(ii) it’s are

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2

In the given figure, calculate:

(а) the area of the whole figure.

(b) the total length of the boundary of the field.

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3

Find the area of the shaded portion in the figure given below.

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4

The radius of a circle is 3.5 cm, find its circumference and area.

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5

A rectangular piece of dimension 3 cm × 2 cm was cut from a rectangular sheet of paper of dimensions 6 cm × 5 cm. Find the ratio of the areas of the two rectangles.

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6

The perimeter of a circle is 176 cm, find its radius.

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7

A rectangle park is 45 m long and 30 m wide. A path 2.5 m wide is constructed outside the park. Find the area of the path.

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8

Area of a circle is 154 cm2, find its circumference.

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9

The length of the diagonal of a square is 50 cm, find the perimeter of the square.

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10

A wire of length 176 cm is first bent into a square and then into a circle. Which one will have more area?

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11

Find the area of a parallelogram-shaped shaded region. Also, find the area of each triangle. What is the ratio of the area of shaded portion to the remaining area of the rectangle?

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12

The side of a square is 2.5 cm. Find its perimeter and area.

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13

The length and breadth of a rectangular field are equal to 600 m and 400 m respectively. Find the cost of the grass to be planted in it at the rate of ₹ 2.50 per m2.

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14

If the length and breadth of a rectangle are 36 cm and 24 cm respectively. Find

(i) Perimeter

(ii) Area of the rectangle.

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15

How many times a wheel of radius 28 cm must rotate to cover a distance of 352 m? (Take π =22/7)

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16

A nursery school playground is 160 m long and 80 m wide. In it 80 m × 80 m is kept for swings and in the remaining portion, there are 1.5 m wide path parallel to its width and parallel to its remaining length as shown in Figure. The remaining area is covered by grass. Find the area covered by grass.

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17

Find the area of the following polygon if AB = 12 cm, AC = 2.4 cm, CE = 6 cm, AD = 4.8 cm, CF = GE = 3.6 cm, DH = 2.4 cm.

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18

In the given figure, ABCD is a square of side 14 cm. Find the area of the shaded region. (Take π=22/7)

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19

The perimeter of a rectangular field is 240 m. If its length is 90 m, find:

(i) it’s breadth

(ii) it’s are

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20

Rectangle ABCD is formed in a circle as shown in Figure. If AE = 8 cm and AD = 5 cm, find the perimeter of the rectangle.

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