EduSahara™ Worksheet

Question 1

1.

In rhombus PQRS, if diagonals QS = 18.00 cm and PR = 21.45 cm, the area of the rhombus =

(i)

200.05 sq.cm
(ii)

165.05 sq.cm
(iii)

219.05 sq.cm
(iv)

181.05 sq.cm
(v)

193.05 sq.cm

Question 2

2.

If the inner rectangle area, outer rectangle area and width of a rectangular path are 63.00 sq.cm, 87.36 sq.cm and 0.70 cm respectively, the area of the rectangular path =

(i)

24.36 sq.cm
(ii)

27.36 sq.cm
(iii)

29.36 sq.cm
(iv)

19.36 sq.cm
(v)

21.36 sq.cm

Question 3

3.

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

(i)

62.00 cm
(ii)

54.00 cm
(iii)

52.00 cm
(iv)

57.00 cm
(v)

60.00 cm

Question 4

4.

If the side of an equilateral triangle is 14 cm, the perimeter of the equilateral triangle =

(i)

37.00 cm
(ii)

42.00 cm
(iii)

45.00 cm
(iv)

39.00 cm
(v)

47.00 cm

Question 5

5.

In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 10 and EB = 5.3 , find the area of the remaining portion

(i)

50.93 sq.cm
(ii)

47.93 sq.cm
(iii)

44.93 sq.cm
(iv)

42.93 sq.cm
(v)

52.93 sq.cm

Question 6

6.

In trapezium ABCD, if area is 123.76 sq.cm and lengths of the parallel sides are AB = 18.00 cm and CD = 10.00 cm, then distance between the parallel sides AB and CD =

(i)

8.84 cm
(ii)

9.84 cm
(iii)

10.84 cm
(iv)

6.84 cm
(v)

7.84 cm

Question 7

7.

If the breadth and diagonal of a rectangle are 7.00 cm and 17.46 cm respectively, the area of the rectangle =

(i)

106.00 sq.cm
(ii)

85.00 sq.cm
(iii)

112.00 sq.cm
(iv)

114.00 sq.cm
(v)

134.00 sq.cm

Question 8

8.

If the perimeter of a square is 68.00 cm, the area of the square =

(i)

293.00 sq.cm
(ii)

286.00 sq.cm
(iii)

313.00 sq.cm
(iv)

289.00 sq.cm
(v)

277.00 sq.cm

Question 9

9.

If the inner length, outer breadth and area of the outer rectangle of a rectangular path are 8.00 cm, 14.00 cm and 210.00 sq.cm respectively, the area of the rectangular path =

(i)

141.00 sq.cm
(ii)

161.00 sq.cm
(iii)

182.00 sq.cm
(iv)

154.00 sq.cm
(v)

138.00 sq.cm

Question 10

10.

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

(i)

281.57 sq.cm
(ii)

262.57 sq.cm
(iii)

250.57 sq.cm
(iv)

242.57 sq.cm
(v)

254.57 sq.cm

Question 11

11.

In quadrilateral PQRS, if diagonal QS = 12.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 12.65 cm and 16.73 cm respectively, then area of the quadrilateral =

(i)

188.28 sq.cm
(ii)

179.28 sq.cm
(iii)

176.28 sq.cm
(iv)

153.28 sq.cm
(v)

160.28 sq.cm

Question 12

12.

Find the area of the shaded region

(i)

102.86 sq.cm
(ii)

116.86 sq.cm
(iii)

79.86 sq.cm
(iv)

107.86 sq.cm
(v)

94.86 sq.cm

Question 13

13.

If area of the circle is 201.14 sq.cm, the area of the semicircle is

(i)

93.57 sq.cm
(ii)

100.57 sq.cm
(iii)

115.57 sq.cm
(iv)

84.57 sq.cm
(v)

116.57 sq.cm

Question 14

14.

If the width of the ring is 1.00 cm and outer radius is 9.00 cm, the area of the ring is

(i)

48.43 sq.cm
(ii)

53.43 sq.cm
(iii)

58.43 sq.cm
(iv)

50.43 sq.cm
(v)

56.43 sq.cm

Question 15

15.

In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 23 cm. Find the area of the shaded region

(i)

95.52 sq.cm
(ii)

85.52 sq.cm
(iii)

93.52 sq.cm
(iv)

90.52 sq.cm
(v)

87.52 sq.cm

Question 16

16.

If the length and diagonal of a rectangle are 16.00 cm and 21.26 cm respectively, the perimeter of the rectangle =

(i)

60.00 cm
(ii)

65.00 cm
(iii)

57.00 cm
(iv)

63.00 cm
(v)

55.00 cm

Question 17

17.

In △PQR, if QR = 16 cm, RP = 12 cm and the corresponding height of side QR = 11.94 cm, then area of the triangle =

(i)

90.50 sq.cm
(ii)

100.50 sq.cm
(iii)

98.50 sq.cm
(iv)

95.50 sq.cm
(v)

92.50 sq.cm

Question 18

18.

In an isosceles right angled triangle △PQR, if RP = 25.46 cm is the hypotenuse, then perimeter of the triangle =

(i)

61.46 cm
(ii)

64.46 cm
(iii)

56.46 cm
(iv)

66.46 cm
(v)

58.46 cm

Question 19

19.

In the given figure △ABC is an equilateral triangle whose area is 110.85 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)

5.28 sq.cm
(ii)

10.28 sq.cm
(iii)

7.28 sq.cm
(iv)

15.28 sq.cm
(v)

13.28 sq.cm

Question 20

20.

In △PQR, if QR = 15 cm, RP = 18 cm, PQ = 17 cm, then area of the triangle =

(i)

140.32 sq.cm
(ii)

121.32 sq.cm
(iii)

103.32 sq.cm
(iv)

112.32 sq.cm
(v)

118.32 sq.cm

Question 21

21.

If the outer length, inner breadth and area of the outer rectangle of a rectangular path are 14.60 cm, 7.00 cm and 183.96 sq.cm respectively, the area of the rectangular path =

(i)

94.96 sq.cm
(ii)

107.96 sq.cm
(iii)

148.96 sq.cm
(iv)

128.96 sq.cm
(v)

120.96 sq.cm

Question 22

22.

In parallelogram PQRS, if distance between the parallel sides PQ and RS is 13.91 cm and area is 222.56 sq.cm, the base of the parallelogram PQ =

(i)

21.00 cm
(ii)

19.00 cm
(iii)

11.00 cm
(iv)

16.00 cm
(v)

13.00 cm

Question 23

23.

If the outer and inner sides of a square path are 9.00 cm and 7.00 cm respectively, the area of the square path =

(i)

29.00 sq.cm
(ii)

35.00 sq.cm
(iii)

37.00 sq.cm
(iv)

32.00 sq.cm
(v)

27.00 sq.cm

Question 24

24.

In a right angled triangle △PQR, if the base QR = 18 cm and the corresponding height is 20 cm, then perimeter of the triangle =

(i)

59.91 cm
(ii)

61.91 cm
(iii)

64.91 cm
(iv)

69.91 cm
(v)

67.91 cm

Question 25

25.

If the length and diagonal of a rectangle are 17.00 cm and 20.25 cm respectively, the area of the rectangle =

(i)

163.00 sq.cm
(ii)

202.00 sq.cm
(iii)

185.00 sq.cm
(iv)

199.00 sq.cm
(v)

187.00 sq.cm

Assignment Key