EduSahara™ Worksheet

Question 1

1.

In trapezium ABCD, if area is 155.09 sq.cm and lengths of the parallel sides are AB = 18.00 cm and CD = 8.00 cm, then distance between the parallel sides AB and CD =

(i)

6.93 cm
(ii)

16.93 cm
(iii)

11.93 cm
(iv)

8.93 cm
(v)

14.93 cm

Question 2

2.

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

(i)

115.00 sq.cm
(ii)

130.00 sq.cm
(iii)

116.00 sq.cm
(iv)

148.00 sq.cm
(v)

132.00 sq.cm

Question 3

3.

In △PQR, if QR = 11 cm, RP = 15 cm, PQ = 14 cm, then area of the triangle =

(i)

73.48 sq.cm
(ii)

70.48 sq.cm
(iii)

78.48 sq.cm
(iv)

76.48 sq.cm
(v)

68.48 sq.cm

Question 4

4.

In a right angled triangle △PQR, if QR = 10 cm, PQ = 17 cm are the lengths of perpendicular sides , then area of the triangle =

(i)

85.00 sq.cm
(ii)

80.00 sq.cm
(iii)

82.00 sq.cm
(iv)

88.00 sq.cm
(v)

90.00 sq.cm

Question 5

5.

In a right angled triangle △PQR, if QR = 13 cm is one of the perpendicular sides and RP = 21.4 cm is the hypotenuse, then area of the triangle =

(i)

125.50 sq.cm
(ii)

127.50 sq.cm
(iii)

96.50 sq.cm
(iv)

110.50 sq.cm

Question 6

6.

In the given figure, ABCD is a square of side 15.00 cm and A, B, C, D are the centres of circular arcs, each of radius 7.50 cm. Find the area of the shaded region

(i)

43.21 sq.cm
(ii)

45.21 sq.cm
(iii)

53.21 sq.cm
(iv)

48.21 sq.cm
(v)

51.21 sq.cm

Question 7

7.

If area of the circle is 113.14 sq.cm, the perimeter of the semicircle is

(i)

35.86 cm
(ii)

27.86 cm
(iii)

33.86 cm
(iv)

30.86 cm
(v)

25.86 cm

Question 8

8.

In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 24 cm. Find the area of the shaded region

(i)

95.56 sq.cm
(ii)

98.56 sq.cm
(iii)

103.56 sq.cm
(iv)

93.56 sq.cm
(v)

101.56 sq.cm

Question 9

9.

In rhombus PQRS, if diagonals QS = 12.00 cm and PR = 33.94 cm, the area of the rhombus =

(i)

203.64 sq.cm
(ii)

197.64 sq.cm
(iii)

215.64 sq.cm
(iv)

180.64 sq.cm
(v)

211.64 sq.cm

Question 10

10.

In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 12 cm, then perimeter of the triangle =

(i)

40.97 cm
(ii)

43.97 cm
(iii)

35.97 cm
(iv)

37.97 cm
(v)

45.97 cm

Question 11

11.

If the area and diagonal of a rectangle are 255.00 sq.cm and 22.67 cm respectively, the perimeter of the rectangle =

(i)

69.00 cm
(ii)

59.00 cm
(iii)

67.00 cm
(iv)

61.00 cm
(v)

64.00 cm

Question 12

12.

If the inner and outer radii of a ring are 7.00 cm and 10.00 cm respectively, the area of the ring is

(i)

177.29 sq.cm
(ii)

160.29 sq.cm
(iii)

146.29 sq.cm
(iv)

134.29 sq.cm
(v)

178.29 sq.cm

Question 13

13.

In quadrilateral PQRS, if area is 183.20 sq.cm, height of vertex P to the diagonal QS is 9.92 cm, and height of vertex R to the diagonal QS is 12.98 cm, then diagonal QS =

(i)

21.00 cm
(ii)

13.00 cm
(iii)

19.00 cm
(iv)

11.00 cm
(v)

16.00 cm

Question 14

14.

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

(i)

144.50 sq.cm
(ii)

117.50 sq.cm
(iii)

162.50 sq.cm
(iv)

129.50 sq.cm

Question 15

15.

If the outer length, inner breadth and area of the outer rectangle of a rectangular path are 9.20 cm, 6.00 cm and 66.24 sq.cm respectively, the area of the rectangular path =

(i)

18.24 sq.cm
(ii)

21.24 sq.cm
(iii)

15.24 sq.cm
(iv)

13.24 sq.cm
(v)

23.24 sq.cm

Question 16

16.

In △PQR, if QR = 20 cm, RP = 18 cm and the corresponding height of side QR = 12.98 cm, then perimeter of the triangle =

(i)

56.00 cm
(ii)

50.00 cm
(iii)

58.00 cm
(iv)

53.00 cm
(v)

48.00 cm

Question 17

17.

If the inner length, inner breadth, outer length and outer breadth of a rectangular path are 10.00 cm, 9.00 cm, 15.40 cm and 14.40 cm respectively, the area of the rectangular path =

(i)

116.76 sq.cm
(ii)

149.76 sq.cm
(iii)

131.76 sq.cm
(iv)

145.76 sq.cm
(v)

129.76 sq.cm

Question 18

18.

If the length and breadth of a rectangle are 18.00 cm and 12.00 cm respectively, the perimeter of the rectangle =

(i)

55.00 cm
(ii)

65.00 cm
(iii)

63.00 cm
(iv)

60.00 cm
(v)

57.00 cm

Question 19

19.

In quadrilateral PQRS, if diagonal QS = 11.00 cm, height of vertex P to the diagonal QS is 11.86 cm and area is 128.92 sq.cm, then height of the vertex R to the diagonal QS is

(i)

14.58 cm
(ii)

6.58 cm
(iii)

11.58 cm
(iv)

8.58 cm
(v)

16.58 cm

Question 20

20.

If the outer length, outer breadth and width of a rectangular path are 13.20 cm, 11.20 cm and 1.60 cm respectively, the area of the rectangular path =

(i)

64.84 sq.cm
(ii)

72.84 sq.cm
(iii)

70.84 sq.cm
(iv)

67.84 sq.cm
(v)

62.84 sq.cm

Question 21

21.

In the given figure, arcs of two concentric circles of radii 15.00 cm and 6.00 cm are drawn with center O. If ∠COD = 70°, find the area of the shaded region