EduSahara™ Worksheet

Question 1

1.

If height of an equilateral triangle is 13.86 cm, the area of the equilateral triangle =

(i)

106.85 sq.cm
(ii)

94.85 sq.cm
(iii)

132.85 sq.cm
(iv)

110.85 sq.cm
(v)

127.85 sq.cm

Question 2

2.

In △PQR, if QR = 12 cm, RP = 13 cm and the corresponding height of side QR = 12.78 cm, then perimeter of the triangle =

(i)

46.00 cm
(ii)

36.00 cm
(iii)

44.00 cm
(iv)

41.00 cm
(v)

38.00 cm

Question 3

3.

If the inner length, inner breadth, outer length and outer breadth of a rectangular path are 9.00 cm, 8.00 cm, 17.00 cm and 16.00 cm respectively, the area of the rectangular path =

(i)

200.00 sq.cm
(ii)

215.00 sq.cm
(iii)

187.00 sq.cm
(iv)

173.00 sq.cm
(v)

214.00 sq.cm

Question 4

4.

If circumference of the circle is 37.71 cm, the perimeter of the semicircle is

(i)

35.86 cm
(ii)

33.86 cm
(iii)

25.86 cm
(iv)

27.86 cm
(v)

30.86 cm

Question 5

5.

In △PQR, if QR = 17 cm, RP = 11 cm, PQ = 17 cm, then perimeter of the triangle =

(i)

45.00 cm
(ii)

40.00 cm
(iii)

48.00 cm
(iv)

50.00 cm
(v)

42.00 cm

Question 6

6.

In the given figure △ABC is an equilateral triangle whose area is 52.39 sq.cm. With each vertex of the triangle as center, a circle is drawn with radius equal to half the length of the side of the triangle . Find the area of the shaded region

(i)

4.86 sq.cm
(ii)

2.86 sq.cm
(iii)

3.86 sq.cm
(iv)

6.86 sq.cm
(v)

5.86 sq.cm

Question 7

7.

In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 17 and EB = 5.3 , find the area of the remaining portion

(i)

132.98 sq.cm
(ii)

111.98 sq.cm
(iii)

93.98 sq.cm
(iv)

106.98 sq.cm

Question 8

8.

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

(i)

124.00 sq.cm
(ii)

117.00 sq.cm
(iii)

131.00 sq.cm
(iv)

92.00 sq.cm
(v)

100.00 sq.cm

Question 9

9.

In an isosceles right angled triangle △PQR, if perimeter = 51.21 cm, then area of the triangle =

(i)

115.50 sq.cm
(ii)

97.50 sq.cm
(iii)

112.50 sq.cm
(iv)

84.50 sq.cm
(v)

126.50 sq.cm

Question 10

10.

If the inner length, outer breadth and area of the inner rectangle of a rectangular path are 10.00 cm, 12.60 cm and 90.00 sq.cm respectively, the area of the rectangular path =

(i)

86.36 sq.cm
(ii)

84.36 sq.cm
(iii)

78.36 sq.cm
(iv)

76.36 sq.cm
(v)

81.36 sq.cm

Question 11

11.

If the width of a square path is 1.50 cm and outer side is 10.00 cm, the area of the square path =

(i)

48.00 sq.cm
(ii)

51.00 sq.cm
(iii)

54.00 sq.cm
(iv)

46.00 sq.cm
(v)

56.00 sq.cm

Question 12

12.

If the inner rectangle area, outer rectangle area and width of a rectangular path are 63.00 sq.cm, 183.96 sq.cm and 2.80 cm respectively, the area of the rectangular path =

(i)

93.96 sq.cm
(ii)

120.96 sq.cm
(iii)

128.96 sq.cm
(iv)

146.96 sq.cm
(v)

105.96 sq.cm

Question 13

13.

If the breadth and diagonal of a rectangle are 13.00 cm and 19.10 cm respectively, the area of the rectangle =

(i)

168.00 sq.cm
(ii)

209.00 sq.cm
(iii)

187.00 sq.cm
(iv)

164.00 sq.cm
(v)

182.00 sq.cm

Question 14

14.

If the side of an equilateral triangle is 20 cm, the perimeter of the equilateral triangle =

(i)

55.00 cm
(ii)

57.00 cm
(iii)

60.00 cm
(iv)

63.00 cm
(v)

65.00 cm

Question 15

15.

In an isosceles right angled triangle △PQR, if area = 144.5 sq.cm, then perimeter of the triangle =

(i)

53.04 cm
(ii)

58.04 cm
(iii)

55.04 cm
(iv)

61.04 cm
(v)

63.04 cm

Question 16

16.

Find the area of the shaded region

(i)

103.00 sq.cm
(ii)

93.00 sq.cm
(iii)

95.00 sq.cm
(iv)

101.00 sq.cm
(v)

98.00 sq.cm

Question 17

17.

In an isosceles right angled triangle △PQR, if QR = 16 cm is one of the equal sides, then perimeter of the triangle =

(i)

59.63 cm
(ii)

57.63 cm
(iii)

49.63 cm
(iv)

54.63 cm
(v)

51.63 cm

Question 18

18.

In an isosceles triangle △ABC, the corresponding height of the side BC is 7.94 cm and area is 71.44 sq.cm, then perimeter of the triangle =

(i)

45.00 cm
(ii)

42.00 cm
(iii)

37.00 cm
(iv)

47.00 cm
(v)

39.00 cm

Question 19

19.

If the length and breadth of a rectangle are 19.00 cm and 13.00 cm respectively, the area of the rectangle =

(i)

247.00 sq.cm
(ii)

241.00 sq.cm
(iii)

233.00 sq.cm
(iv)

264.00 sq.cm

Question 20

20.

In an isosceles triangle △ABC, if base BC = 14 cm and the corresponding height is 9.75 cm, then perimeter of the triangle =

(i)

41.00 cm
(ii)

43.00 cm
(iii)

33.00 cm
(iv)

38.00 cm
(v)

35.00 cm

Question 21

21.

Find the area of the field shown in the figure. All dimensions are in m

(i)

8105.00 sq.m
(ii)

8075.00 sq.m
(iii)

8365.00 sq.m
(iv)

8225.00 sq.m

Question 22

22.

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

(i)

215.00 sq.cm
(ii)

203.00 sq.cm
(iii)

186.00 sq.cm
(iv)

200.00 sq.cm
(v)

192.00 sq.cm

Question 23

23.

If the breadth and diagonal of a rectangle are 17.00 cm and 25.50 cm respectively, the perimeter of the rectangle =

(i)

75.00 cm
(ii)

69.00 cm
(iii)

67.00 cm
(iv)

72.00 cm
(v)

77.00 cm

Question 24

24.

In a right angled triangle △PQR, if the area is 102 sq.cm and base QR = 17 cm, then perimeter of the triangle =

(i)

54.81 cm
(ii)

46.81 cm
(iii)

52.81 cm
(iv)

49.81 cm
(v)

44.81 cm

Question 25

25.

In quadrilateral PQRS, if area is 223.38 sq.cm, height of vertex P to the diagonal QS is 17.52 cm, and height of vertex R to the diagonal QS is 8.76 cm, then diagonal QS =

(i)

22.00 cm
(ii)

20.00 cm
(iii)

17.00 cm
(iv)

12.00 cm
(v)

14.00 cm

Assignment Key