EduSahara™ Worksheet

Question 1

1.

Ravali has a triangular field with sides 70 m, 130 m and 110 m. She wanted to grow radish and cabbages. She divided the field into two parts by joining the mid-point of the longest side to the opposite vertex, and grew radish in one part and cabbages in the other part. How much area has been used for cabbages.

(i)

1794.96 sq.m
(ii)

1924.96 sq.m
(iii)

2164.96 sq.m
(iv)

1674.96 sq.m
(v)

2104.96 sq.m

Question 2

2.

In △PQR, if QR = 18 cm, RP = 16 cm, PQ = 12 cm, then area of the triangle =

(i)

99.10 sq.cm
(ii)

91.10 sq.cm
(iii)

97.10 sq.cm
(iv)

89.10 sq.cm
(v)

94.10 sq.cm

Question 3

3.

A rhombus shaped field has green grass for 15 cows to graze. If the perimeter of the field is 560.00 m and one of the diagonals is 180 m, how much area of the grass field will each cow be grazing?

(i)

1246.88 sq.m
(ii)

1066.88 sq.m
(iii)

1336.88 sq.m
(iv)

1286.88 sq.m
(v)

1516.88 sq.m

Question 4

4.

In an isosceles triangle △ABC, if BC = 16 cm, CA = AB and perimeter is 36 cm, then corresponding height of side AB =

(i)

8.60 cm
(ii)

9.60 cm
(iii)

10.60 cm
(iv)

11.60 cm
(v)

7.60 cm

Question 5

5.

In an isosceles triangle △ABC, if BC = 20 cm, AB = CA = 18 cm, then corresponding height of side BC =

(i)

14.97 cm
(ii)

19.97 cm
(iii)

9.97 cm
(iv)

11.97 cm
(v)

17.97 cm

Question 6

6.

In an isosceles triangle △ABC, the corresponding height of the side BC is 8.47 cm and area is 72 sq.cm, then side BC =

(i)

12.00 cm
(ii)

22.00 cm
(iii)

17.00 cm
(iv)

20.00 cm
(v)

14.00 cm

Question 7

7.

In an isosceles triangle △ABC, if base BC = 11 cm and the corresponding height is 11.78 cm, then side CA =

(i)

18.00 cm
(ii)

10.00 cm
(iii)

8.00 cm
(iv)

13.00 cm
(v)

16.00 cm

Question 8

8.

In an isosceles triangle △ABC, if BC = 11 cm, AB = CA = 10 cm, then corresponding height of side AB =

(i)

11.19 cm
(ii)

8.19 cm
(iii)

10.19 cm
(iv)

7.19 cm
(v)

9.19 cm

Question 9

9.

The sides of a triangular plot are in the ratio
19

:

6

:

16

and perimeter is
410 m
. Find its area

(i)

4339.33 sq.m
(ii)

4759.33 sq.m
(iii)

4629.33 sq.m
(iv)

4479.33 sq.m
(v)

4349.33 sq.m

Question 10

10.

In an isosceles triangle △ABC, if base BC = 10 cm and area is 86.46 sq.cm, then corresponding height of side CA =

(i)

11.61 cm
(ii)

7.61 cm
(iii)

8.61 cm
(iv)

9.61 cm
(v)

10.61 cm

Question 11

11.

In an isosceles triangle △ABC, if base BC = 19 cm and the corresponding height is 11.61 cm, then corresponding height of side CA =

(i)

9.70 cm
(ii)

11.70 cm
(iii)

14.70 cm
(iv)

17.70 cm
(v)

19.70 cm

Question 12

12.

In an isosceles triangle △ABC, the corresponding height of the side BC is 7.55 cm and area is 60.4 sq.cm, then corresponding height of side CA =

(i)

5.98 cm
(ii)

13.98 cm
(iii)

7.98 cm
(iv)

15.98 cm
(v)

10.98 cm

Question 13

13.

In △PQR, if QR = 13 cm, RP = 12 cm and the corresponding height of side QR = 11.96 cm, then area of the triangle =

(i)

80.77 sq.cm
(ii)

72.77 sq.cm
(iii)

77.77 sq.cm
(iv)

82.77 sq.cm
(v)

74.77 sq.cm

Question 14

14.

In an isosceles triangle △ABC, if base BC = 20 cm and the corresponding height is 13.75 cm, then area of the triangle =

(i)

143.48 sq.cm
(ii)

114.48 sq.cm
(iii)

150.48 sq.cm
(iv)

137.48 sq.cm
(v)

122.48 sq.cm

Question 15

15.

In an isosceles triangle △ABC, if BC = 17 cm, AB = CA = 15 cm, then area of the triangle =

(i)

118.05 sq.cm
(ii)

121.05 sq.cm
(iii)

105.05 sq.cm
(iv)

97.05 sq.cm
(v)

90.05 sq.cm

Question 16

16.

In an isosceles triangle △ABC, if BC = 14 cm, CA = AB and perimeter is 34 cm, then corresponding height of side BC =

(i)

6.14 cm
(ii)

7.14 cm
(iii)

5.14 cm
(iv)

9.14 cm
(v)

8.14 cm

Question 17

17.

A traffic sign board is in the shape of an equilateral triangle . If its perimeter is 60 cm, what is its area ?

(i)

147.21 sq.cm
(ii)

196.21 sq.cm
(iii)

173.21 sq.cm
(iv)

156.21 sq.cm
(v)

187.21 sq.cm

Question 18

18.

A triangular park has sides 160 m, 110 m and 140 m. A gardener has to put a fence all around it and also plant grass inside. Find the cost of fencing it with barbed wire at the rate of ₹20 per metre leaving a space of 2 m wide for the gate on one side.

(i)

₹8110.00
(ii)

₹8320.00
(iii)

₹8180.00
(iv)

₹7900.00
(v)

₹8160.00

Question 19

19.

In an isosceles triangle △ABC, if base BC = 19 cm and area is 133.93 sq.cm, then side AB =

(i)

12.00 cm
(ii)

20.00 cm
(iii)

14.00 cm
(iv)

22.00 cm
(v)

17.00 cm

Question 20

20.

In an isosceles triangle △ABC, the corresponding height of the side BC is 9.38 cm and area is 84.43 sq.cm, then side CA =

(i)

16.00 cm
(ii)

18.00 cm
(iii)

10.00 cm
(iv)

8.00 cm
(v)

13.00 cm

Question 21

21.

A floral design on a floor is made up of 7 triangular shaped tiles. The sides of each tile are 18 cm, 14 cm and 10 cm. If the cost of polishing the tiles is ₹2.50 per sq cm, find the total cost to polishing all the tiles.

(i)

₹968.86
(ii)

₹1288.86
(iii)

₹1348.86
(iv)

₹1218.86
(v)

₹1058.86

Question 22

22.

In an isosceles triangle △ABC, if BC = 11 cm, CA = AB and perimeter is 37 cm, then area of the triangle =

(i)

64.79 sq.cm
(ii)

59.79 sq.cm
(iii)

69.79 sq.cm
(iv)

61.79 sq.cm
(v)

67.79 sq.cm

Question 23

23.

In an isosceles triangle △ABC, the corresponding height of the side BC is 10.25 cm and area is 81.98 sq.cm, then side AB =

(i)

8.00 cm
(ii)

13.00 cm
(iii)

18.00 cm
(iv)

16.00 cm
(v)

10.00 cm

Question 24

24.

In △PQR, if QR = 10 cm, RP = 19 cm, PQ = 14 cm, then corresponding height of side QR =

(i)

16.62 cm
(ii)

8.62 cm
(iii)

10.62 cm
(iv)

13.62 cm
(v)

18.62 cm

Question 25

25.

In an isosceles triangle △ABC, the corresponding height of the side BC is 6 cm and area is 48 sq.cm, then corresponding height of side AB =

(i)

10.60 cm
(ii)

8.60 cm
(iii)

7.60 cm
(iv)

9.60 cm
(v)

11.60 cm

Assignment Key