EduSahara™ Worksheet

Question 1

1.

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

(i)

175.00 sq.cm
(ii)

188.00 sq.cm
(iii)

162.00 sq.cm
(iv)

144.00 sq.cm
(v)

137.00 sq.cm

Question 2

2.

If circumference of the circle is 37.71 cm, the radius of the circle is

(i)

8.00 cm
(ii)

5.00 cm
(iii)

4.00 cm
(iv)

7.00 cm
(v)

6.00 cm

Question 3

3.

If the width of a square path is 1.00 cm and outer side is 9.00 cm, the area of the square path =

(i)

35.00 sq.cm
(ii)

32.00 sq.cm
(iii)

29.00 sq.cm
(iv)

37.00 sq.cm
(v)

27.00 sq.cm

Question 4

4.

If the inner length, outer breadth and area of the inner rectangle of a rectangular path are 10.00 cm, 18.00 cm and 90.00 sq.cm respectively, the area of the rectangular path =

(i)

252.00 sq.cm
(ii)

236.00 sq.cm
(iii)

239.00 sq.cm
(iv)

275.00 sq.cm
(v)

264.00 sq.cm

Question 5

5.

In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 19 cm, then corresponding height of side QR =

(i)

22.00 cm
(ii)

14.00 cm
(iii)

16.00 cm
(iv)

19.00 cm
(v)

24.00 cm

Question 6

6.

If the outer length, inner breadth and area of the inner rectangle of a rectangular path are 13.00 cm, 5.00 cm and 45.00 sq.cm respectively, the width of the rectangular path =

(i)

1.00 cm
(ii)

2.00 cm
(iii)

0.00 cm
(iv)

3.00 cm
(v)

4.00 cm

Question 7

7.

In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 20 cm, then side QR =

(i)

25.00 cm
(ii)

17.00 cm
(iii)

23.00 cm
(iv)

20.00 cm
(v)

15.00 cm

Question 8

8.

In an isosceles triangle △ABC, if base BC = 20 cm and area is 45.83 sq.cm, then corresponding height of side BC =

(i)

2.58 cm
(ii)

3.58 cm
(iii)

6.58 cm
(iv)

5.58 cm
(v)

4.58 cm

Question 9

9.

In the given figure, find the area of the shaded region

(i)

142.50 sq.cm
(ii)

139.50 sq.cm
(iii)

151.50 sq.cm
(iv)

123.50 sq.cm
(v)

134.50 sq.cm

Question 10

10.

If the length and area of a rectangle are 20.00 cm and 360.00 sq.cm respectively, the breadth of the rectangle =

(i)

15.00 cm
(ii)

23.00 cm
(iii)

21.00 cm
(iv)

13.00 cm
(v)

18.00 cm

Question 11

11.

Find the area of the shaded region given below

(i)

405.00 sq.m
(ii)

428.00 sq.m
(iii)

402.00 sq.m
(iv)

423.00 sq.m
(v)

391.00 sq.m

Question 12

12.

In a right angled triangle △PQR, if the base QR = 14 cm and the corresponding height is 10 cm, then area of the triangle =

(i)

67.00 sq.cm
(ii)

70.00 sq.cm
(iii)

73.00 sq.cm
(iv)

75.00 sq.cm
(v)

65.00 sq.cm

Question 13

13.

If the outer length, inner breadth and area of the inner rectangle of a rectangular path are 8.00 cm, 5.00 cm and 35.00 sq.cm respectively, the area of the rectangular path =

(i)

8.00 sq.cm
(ii)

16.00 sq.cm
(iii)

13.00 sq.cm
(iv)

10.00 sq.cm
(v)

18.00 sq.cm

Question 14

14.

If the width of a square path is 0.50 cm and inner side is 7.00 cm, the area of the square path =

(i)

12.00 sq.cm
(ii)

10.00 sq.cm
(iii)

15.00 sq.cm
(iv)

18.00 sq.cm
(v)

20.00 sq.cm

Question 15

15.

In the given figure, the triangle inside the square is an isosceles triangle. Find the area of the shaded region

(i)

144.00 sq.cm
(ii)

164.00 sq.cm
(iii)

162.00 sq.cm
(iv)

149.00 sq.cm
(v)

175.00 sq.cm

Question 16

16.

If the length and area of a rectangle are 19.00 cm and 342.00 sq.cm respectively, the perimeter of the rectangle =

(i)

71.00 cm
(ii)

79.00 cm
(iii)

74.00 cm
(iv)

77.00 cm
(v)

69.00 cm

Question 17

17.

Find the area of shaded region in the adjoining figure, given that CD = 12 cm, DE = 28 cm, CF = 14 cm and ∠FCD = ∠CDE = 90°.

(i)

254.00 sq.cm
(ii)

252.00 sq.cm
(iii)

250.00 sq.cm
(iv)

251.00 sq.cm
(v)

253.00 sq.cm

Question 18

18.

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

(i)

MNOP and QRST
(ii)

ABCD and EFGH
(iii)

EFGH and QRST
(iv)

EFGH and MNOP
(v)

ABCD and QRST

Question 19

19.

If the width of a square path is 2.00 cm and inner side is 6.00 cm, the outer side of the square path =

(i)

7.00 cm
(ii)

5.00 cm
(iii)

13.00 cm
(iv)

15.00 cm
(v)

10.00 cm

Question 20

20.

If area of an equilateral triangle is 156.32 sq.cm, the side of the equilateral triangle =

(i)

24.00 cm
(ii)

19.00 cm
(iii)

14.00 cm
(iv)

16.00 cm
(v)

22.00 cm

Question 21

21.

If the inner length, outer breadth and area of the outer rectangle of a rectangular path are 10.00 cm, 18.00 cm and 342.00 sq.cm respectively, the width of the rectangular path =

(i)

5.50 cm
(ii)

4.50 cm
(iii)

3.50 cm
(iv)

6.50 cm
(v)

2.50 cm

Question 22

22.

If the inner rectangle area, outer rectangle area and width of a rectangular path are 72.00 sq.cm, 176.64 sq.cm and 2.40 cm respectively, the outer length of the rectangular path =

(i)

10.80 cm
(ii)

8.80 cm
(iii)

16.80 cm
(iv)

13.80 cm
(v)

18.80 cm

Question 23

23.

Find the perimeter of the shaded region given below

(i)

192.00 m
(ii)

191.00 m
(iii)

178.00 m
(iv)

175.00 m
(v)

150.00 m

Question 24

24.

If the outer length, inner breadth and area of the outer rectangle of a rectangular path are 10.60 cm, 8.00 cm and 101.76 sq.cm respectively, the area of the rectangular path =

(i)

26.76 sq.cm
(ii)

29.76 sq.cm
(iii)

24.76 sq.cm
(iv)

32.76 sq.cm
(v)

34.76 sq.cm

Question 25

25.

If the outer and inner sides of a square path are 8.00 cm and 6.00 cm respectively, the width of the square path =

(i)

2.00 cm
(ii)

3.00 cm
(iii)

1.00 cm
(iv)

9.00 cm
(v)

0.00 cm

Assignment Key