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Perimetre and area

Total questions: 11

Worksheet time: 31mins

Name
Class
Date
1.

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

(i) it’s breadth

(ii) it’s area.

a)

(i) 30 m

(ii) 2700 m2

b)

(i) 30 m

(ii) 2600 m2

c)

(i) 30 m

(ii) 270 m2

d)

(i) 60 m

(ii) 2700 m2

2.

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.

a)

$7,00,000

b)

$ 6,50,000

c)

$ 50,000

d)

$ 6,00,000

3.

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

[Hint :- Using Pythagoras Theorem]

a)

100√2 cm

b)

1000√2 cm

c)

10√2 cm

d)

100√3 cm

4.

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.

a)

400 m2

b)

750 m2

c)

1400 m2

d)

4100 m2

5.

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

a)

28 cm

b)

42 cm

c)

53 cm

d)

25 cm

6.

Find the perimeter of the figure given above.

a)

36 cm

b)

34 cm

c)

56 cm

d)

454 cm

7.

In the given figure, find the area of the shaded portion.

a)

61.5 cm2

b)

61.6 cm2

c)

5661.5 cm2

d)

461.5 cm2

8.

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

a)

42 cm2

b)

41.2 cm2

c)

122 cm2

d)

335 cm2

9.

In the given figure, calculate:

(а) the area of the whole figure.

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

a)

(a) 4746 cm2

(b) 292 cm.

b)

(a) 5731 cm2

(b) 292 cm.

c)

(a) 4746 cm2

(b) 134 cm.

d)

(a) 4746 cm2

(b) 2924 cm.

10.

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

a)

79834.25 m2.

b)

48901 m2.

c)

6162.25 m2.

d)

8904.23 m2

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?

a)

3 : 2

b)

3 : 6

c)

43 : 2

d)

3 : 3