EduSahara™ Worksheet

Question 1

1.

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 outer rectangle of the rectangular path =

(i)

221.76 sq.cm
(ii)

243.76 sq.cm
(iii)

219.76 sq.cm
(iv)

196.76 sq.cm
(v)

225.76 sq.cm

Question 2

2.

If the outer length, outer breadth and width of a rectangular path are 15.60 cm, 12.60 cm and 2.80 cm respectively, the area of the outer rectangle of the rectangular path =

(i)

194.56 sq.cm
(ii)

196.56 sq.cm
(iii)

213.56 sq.cm
(iv)

170.56 sq.cm

Question 3

3.

If the outer side of a square path is 10.00 cm and area of the square path is 75.00 sq.cm, the area of the outer square =

(i)

100.00 sq.cm
(ii)

103.00 sq.cm
(iii)

88.00 sq.cm
(iv)

86.00 sq.cm
(v)

125.00 sq.cm

Question 4

4.

If the length and breadth of a rectangle are 16.00 cm and 7.00 cm respectively, the area of the rectangle =

(i)

114.00 sq.cm
(ii)

126.00 sq.cm
(iii)

112.00 sq.cm
(iv)

99.00 sq.cm
(v)

94.00 sq.cm

Question 5

5.

In a right angled triangle △PQR, if QR = 15 cm, PQ = 20 cm are the lengths of perpendicular sides , then area of the triangle =

(i)

163.00 sq.cm
(ii)

165.00 sq.cm
(iii)

150.00 sq.cm
(iv)

132.00 sq.cm
(v)

146.00 sq.cm

Question 6

6.

If the outer side of a square path is 7.00 cm and area of the square path is 13.00 sq.cm, the area of the inner square =

(i)

36.00 sq.cm
(ii)

31.00 sq.cm
(iii)

33.00 sq.cm
(iv)

39.00 sq.cm
(v)

41.00 sq.cm

Question 7

7.

If the breadth and perimeter of a rectangle are 6.00 cm and 50.00 cm respectively, the area of the rectangle =

(i)

131.00 sq.cm
(ii)

114.00 sq.cm
(iii)

112.00 sq.cm
(iv)

118.00 sq.cm
(v)

89.00 sq.cm

Question 8

8.

If the outer length, inner breadth and area of the inner rectangle of a rectangular path are 13.60 cm, 9.00 cm and 90.00 sq.cm respectively, the area of the rectangular path =

(i)

78.36 sq.cm
(ii)

84.36 sq.cm
(iii)

81.36 sq.cm
(iv)

86.36 sq.cm
(v)

76.36 sq.cm

Question 9

9.

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

(i)

ABCD and EFGH
(ii)

ABCD and QRST
(iii)

MNOP and QRST
(iv)

EFGH and MNOP
(v)

EFGH and QRST

Question 10

10.

If the inner length, inner breadth and width of a rectangular path are 8.00 cm, 5.00 cm and 0.50 cm respectively, the area of the rectangular path =

(i)

19.00 sq.cm
(ii)

9.00 sq.cm
(iii)

14.00 sq.cm
(iv)

17.00 sq.cm
(v)

11.00 sq.cm

Question 11

11.

If the outer length, inner breadth and width of a rectangular path are 13.80 cm, 8.00 cm and 2.40 cm respectively, the area of the inner rectangle of the rectangular path =

(i)

69.00 sq.cm
(ii)

77.00 sq.cm
(iii)

72.00 sq.cm
(iv)

67.00 sq.cm
(v)

75.00 sq.cm

Question 12

12.

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 area of the rectangular path =

(i)

268.00 sq.cm
(ii)

269.00 sq.cm
(iii)

234.00 sq.cm
(iv)

252.00 sq.cm
(v)

239.00 sq.cm

Question 13

13.

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

(i)

△SAB and △PAB
(ii)

△SAB and △RAB
(iii)

△PAB and △QAB
(iv)

△PAB and △RAB
(v)

△SAB and △QAB

Question 14

14.

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

(i)

△CDE and △FGH
(ii)

△CDE and △IJK
(iii)

△FGH and △IJK
(iv)

△CDE and △LMN
(v)

△FGH and △LMN

Question 15

15.

If the inner length, outer breadth and width of a rectangular path are 10.00 cm, 10.80 cm and 0.90 cm respectively, the area of the outer rectangle of the rectangular path =

(i)

151.44 sq.cm
(ii)

112.44 sq.cm
(iii)

127.44 sq.cm
(iv)

110.44 sq.cm
(v)

129.44 sq.cm

Question 16

16.

In a right angled triangle △PQR, if QR = 12 cm is one of the perpendicular sides and RP = 17.69 cm is the hypotenuse, then area of the triangle =

(i)

73.00 sq.cm
(ii)

78.00 sq.cm
(iii)

83.00 sq.cm
(iv)

75.00 sq.cm
(v)

81.00 sq.cm

Question 17

17.

If the length of the diagonal of a square is 18.38 cm, the area of the square =

(i)

163.00 sq.cm
(ii)

144.00 sq.cm
(iii)

169.00 sq.cm
(iv)

187.00 sq.cm
(v)

182.00 sq.cm

Question 18

18.

In quadrilateral PQRS, if diagonal QS = 17.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 10.91 cm and 13.77 cm respectively, then area of the quadrilateral =

(i)

209.78 sq.cm
(ii)

196.78 sq.cm
(iii)

221.78 sq.cm
(iv)

214.78 sq.cm

Question 19

19.

In an isosceles right angled triangle △PQR, if perimeter = 58.04 cm, then area of the triangle =

(i)

144.50 sq.cm
(ii)

120.50 sq.cm
(iii)

137.50 sq.cm
(iv)

159.50 sq.cm
(v)

156.50 sq.cm

Question 20

20.

If the inner length, outer breadth and width of a rectangular path are 8.00 cm, 11.20 cm and 2.10 cm respectively, the area of the rectangular path =

(i)

80.64 sq.cm
(ii)

83.64 sq.cm
(iii)

77.64 sq.cm
(iv)

85.64 sq.cm
(v)

75.64 sq.cm

Question 21

21.

In a right angled triangle △PQR, if the base QR = 10 cm and the corresponding height is 17 cm, then area of the triangle =

(i)

85.00 sq.cm
(ii)

82.00 sq.cm
(iii)

80.00 sq.cm
(iv)

88.00 sq.cm
(v)

90.00 sq.cm

Question 22

22.

If the inner length, outer breadth and area of the inner rectangle of a rectangular path are 9.00 cm, 7.20 cm and 54.00 sq.cm respectively, the area of the rectangular path =

(i)

14.44 sq.cm
(ii)

19.44 sq.cm
(iii)

16.44 sq.cm
(iv)

24.44 sq.cm
(v)

22.44 sq.cm

Question 23

23.

If the inner length, inner breadth, outer length and outer breadth of a rectangular path are 10.00 cm, 5.00 cm, 12.00 cm and 7.00 cm respectively, the area of the inner rectangle of the rectangular path =

(i)

55.00 sq.cm
(ii)

50.00 sq.cm
(iii)

53.00 sq.cm
(iv)

45.00 sq.cm
(v)

47.00 sq.cm

Question 24

24.

If the outer length, inner breadth and area of the inner rectangle of a rectangular path are 19.00 cm, 9.00 cm and 90.00 sq.cm respectively, the area of the outer rectangle of the rectangular path =

(i)

342.00 sq.cm
(ii)

370.00 sq.cm
(iii)

318.00 sq.cm
(iv)

327.00 sq.cm
(v)

355.00 sq.cm

Question 25

25.

If the width of a square path is 1.50 cm and inner side is 7.00 cm, the area of the inner square =

(i)

46.00 sq.cm
(ii)

54.00 sq.cm
(iii)

44.00 sq.cm
(iv)

52.00 sq.cm
(v)

49.00 sq.cm

Assignment Key