EduSahara™ Worksheet

EduSahara™ Worksheet

Name : Chapter Based Worksheet

Chapter : Area and Perimeter

Grade : SSC Grade VII

License : Non Commercial Use

Question 1

1.

If the inner length, outer breadth and area of the outer rectangle of a rectangular path are 8.00 cm, 8.40 cm and 87.36 sq.cm respectively, the width of the rectangular path =

(i)

9.20 cm
(ii)

2.20 cm
(iii)

3.20 cm
(iv)

1.20 cm
(v)

0.20 cm

Question 2

2.

Find the area of the shaded region given below

(i)

454.00 sq.m
(ii)

427.00 sq.m
(iii)

443.00 sq.m
(iv)

476.00 sq.m
(v)

449.00 sq.m

Question 3

3.

If the side of a square is 12.00 cm, the perimeter of the square =

(i)

45.00 cm
(ii)

51.00 cm
(iii)

48.00 cm
(iv)

43.00 cm
(v)

53.00 cm

Question 4

4.

If the perimeter and area of a rectangle are 60.00 cm and 209.00 sq.cm respectively, the breadth of the rectangle =

(i)

16.00 cm
(ii)

14.00 cm
(iii)

8.00 cm
(iv)

6.00 cm
(v)

11.00 cm

Question 5

5.

In an isosceles right angled triangle △PQR, if QR = 18 cm is one of the equal sides, then corresponding height of side PQ =

(i)

18.00 cm
(ii)

13.00 cm
(iii)

15.00 cm
(iv)

21.00 cm
(v)

23.00 cm

Question 6

6.

If the inner length, inner breadth and width of a rectangular path are 9.00 cm, 7.00 cm and 3.50 cm respectively, the outer length of the rectangular path =

(i)

11.00 cm
(ii)

19.00 cm
(iii)

16.00 cm
(iv)

21.00 cm
(v)

13.00 cm

Question 7

7.

Find the area of the shaded region given below

(i)

402.00 sq.m
(ii)

380.00 sq.m
(iii)

410.00 sq.m
(iv)

394.00 sq.m
(v)

392.00 sq.m

Question 8

8.

If radius of the circle is 6.00 cm, the circumference of the circle is

(i)

40.71 cm
(ii)

32.71 cm
(iii)

42.71 cm
(iv)

34.71 cm
(v)

37.71 cm

Question 9

9.

If radius of the circle is 9.00 cm, the diameter of the circle is

(i)

21.00 cm
(ii)

15.00 cm
(iii)

23.00 cm
(iv)

18.00 cm
(v)

13.00 cm

Question 10

10.

If the inner length, outer breadth and width of a rectangular path are 7.00 cm, 9.60 cm and 1.80 cm respectively, the area of the rectangular path =

(i)

56.76 sq.cm
(ii)

62.76 sq.cm
(iii)

54.76 sq.cm
(iv)

59.76 sq.cm
(v)

64.76 sq.cm

Question 11

11.

If the length and breadth of a rectangle are 19.00 cm and 15.00 cm respectively, the area of the rectangle =

(i)

291.00 sq.cm
(ii)

263.00 sq.cm
(iii)

272.00 sq.cm
(iv)

285.00 sq.cm
(v)

312.00 sq.cm

Question 12

12.

In the given figure, DEFG is a rectangle in which DE = 17 cm and GD = 28 cm.

Also, △PFG is a right angled triangle in which ∠GPF = 90° and PF = 8 cm

Find the area of the shaded region

(i)

415.00 sq.cm
(ii)

416.00 sq.cm
(iii)

418.00 sq.cm
(iv)

417.00 sq.cm
(v)

414.00 sq.cm

Question 13

13.

If the breadth and perimeter of a rectangle are 11.00 cm and 62.00 cm respectively, the length of the rectangle =

(i)

20.00 cm
(ii)

25.00 cm
(iii)

17.00 cm
(iv)

23.00 cm
(v)

15.00 cm

Question 14

14.

If the side of an equilateral triangle is 10 cm, the height of the equilateral triangle =

(i)

10.66 cm
(ii)

6.66 cm
(iii)

9.66 cm
(iv)

8.66 cm
(v)

7.66 cm

Question 15

15.

Find the area of shaded region in the adjoining figure, given that CD = 17 cm, DE = 27 cm, CF = 14 cm and ∠FCD = ∠CDE = 90°.

(i)

348.50 sq.cm
(ii)

346.50 sq.cm
(iii)

350.50 sq.cm
(iv)

349.50 sq.cm
(v)

347.50 sq.cm

Question 16

16.

In a right angled triangle △PQR, if the base QR = 19 cm and the corresponding height is 16 cm, then corresponding height of side PQ =

(i)

14.00 cm
(ii)

19.00 cm
(iii)

22.00 cm
(iv)

24.00 cm
(v)

16.00 cm

Question 17

17.

If the outer and inner sides of a square path are 10.00 cm and 5.00 cm respectively, the width of the square path =

(i)

4.50 cm
(ii)

1.50 cm
(iii)

2.50 cm
(iv)

0.50 cm
(v)

3.50 cm

Question 18

18.

If the breadth and area of a rectangle are 16.00 cm and 320.00 sq.cm respectively, the perimeter of the rectangle =

(i)

72.00 cm
(ii)

67.00 cm
(iii)

75.00 cm
(iv)

69.00 cm
(v)

77.00 cm

Question 19

19.

Consider the following parallelograms. Which two parallelograms have the same area?

(i)

EFGH and MNOP
(ii)

ABCD and QRST
(iii)

EFGH and QRST
(iv)

MNOP and QRST
(v)

ABCD and EFGH

Question 20

20.

In a right angled triangle △PQR, if the base QR = 19 cm and the corresponding height is 20 cm, then side PQ =

(i)

23.00 cm
(ii)

17.00 cm
(iii)

20.00 cm
(iv)

15.00 cm
(v)

25.00 cm

Question 21

21.

In a right angled triangle △PQR, if the area is 84 sq.cm and corresponding height of side QR = 14 cm, then side QR =

(i)

12.00 cm
(ii)

7.00 cm
(iii)

15.00 cm
(iv)

17.00 cm
(v)

9.00 cm

Question 22

22.

Find the perimeter of the shaded region given below

(i)

167.00 m
(ii)

189.00 m
(iii)

150.00 m
(iv)

164.00 m
(v)

152.00 m

Question 23

23.

In a right angled triangle △PQR, if the area is 70 sq.cm and corresponding height of side QR = 10 cm, then side PQ =

(i)

13.00 cm
(ii)

5.00 cm
(iii)

7.00 cm
(iv)

10.00 cm
(v)

15.00 cm

Question 24

24.

If circumference of the circle is 56.57 cm, the radius of the circle is

(i)

7.00 cm
(ii)

8.00 cm
(iii)

10.00 cm
(iv)

9.00 cm
(v)

11.00 cm

Question 25

25.

Find the perimeter of the shaded region given below

(i)

160.00 m
(ii)

136.00 m
(iii)

182.00 m
(iv)

156.00 m
(v)

178.00 m

Assignment Key