EduSahara™ Worksheet

Question 1

1.

A traffic sign board is in the shape of an equilateral triangle . If its perimeter is 30 cm, what is its area ?

(i)

40.30 sq.cm
(ii)

46.30 sq.cm
(iii)

38.30 sq.cm
(iv)

48.30 sq.cm
(v)

43.30 sq.cm

Question 2

2.

A triangle and a parallelogram, both have the same base and the same area. If the sides of the triangle are 22 cm, 11 cm and 16 cm, and the parallelogram stands on the base 11 cm, find the height of the parallelogram

(i)

7.62 cm
(ii)

6.62 cm
(iii)

9.62 cm
(iv)

5.62 cm
(v)

8.62 cm

Question 3

3.

In △PQR, if QR = 18 cm, RP = 20 cm and the corresponding height of side QR = 10.93 cm, then corresponding height of side PQ =

(i)

14.88 cm
(ii)

20.88 cm
(iii)

22.88 cm
(iv)

17.88 cm
(v)

12.88 cm

Question 4

4.

A triangular park has sides 110 m, 120 m and 120 m. A gardener has to put a fence all around it and also plant grass inside. How much area does he need to plant ?

(i)

6095.95 sq.m
(ii)

5705.95 sq.m
(iii)

5885.95 sq.m
(iv)

5615.95 sq.m
(v)

5865.95 sq.m

Question 5

5.

In △PQR, if QR = 19 cm, RP = 12 cm and the corresponding height of side QR = 11.68 cm, then side PQ =

(i)

17.00 cm
(ii)

23.00 cm
(iii)

15.00 cm
(iv)

25.00 cm
(v)

20.00 cm

Question 6

6.

In an isosceles triangle △ABC, if BC = 15 cm, CA = AB and perimeter is 35 cm, then corresponding height of side BC =

(i)

8.61 cm
(ii)

5.61 cm
(iii)

4.61 cm
(iv)

7.61 cm
(v)

6.61 cm

Question 7

7.

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

(i)

19.17 cm
(ii)

21.17 cm
(iii)

16.17 cm
(iv)

13.17 cm
(v)

11.17 cm

Question 8

8.

A floral design on a floor is made up of 23 triangular shaped tiles. The sides of each tile are 24 cm, 30 cm and 22 cm. If the cost of polishing the tiles is ₹2.50 per sq cm, find the total cost to polishing all the tiles.

(i)

₹13204.75
(ii)

₹16404.75
(iii)

₹13504.75
(iv)

₹16704.75
(v)

₹15004.75

Question 9

9.

In △PQR, if QR = 12 cm, RP = 12 cm, PQ = 18 cm, then corresponding height of side RP =

(i)

11.91 cm
(ii)

8.91 cm
(iii)

16.91 cm
(iv)

6.91 cm
(v)

14.91 cm

Question 10

10.

In △PQR, if QR = 12 cm, RP = 17 cm and the corresponding height of side QR = 10.95 cm, then perimeter of the triangle =

(i)

35.00 cm
(ii)

37.00 cm
(iii)

40.00 cm
(iv)

43.00 cm
(v)

45.00 cm

Question 11

11.

In △PQR, if QR = 20 cm, RP = 14 cm and perimeter = 54 cm, then corresponding height of side QR =

(i)

16.11 cm
(ii)

10.11 cm
(iii)

13.11 cm
(iv)

18.11 cm
(v)

8.11 cm

Question 12

12.

In an isosceles triangle △ABC, if BC = 20 cm, AB = CA = 11 cm, then corresponding height of side CA =

(i)

10.33 cm
(ii)

7.33 cm
(iii)

6.33 cm
(iv)

8.33 cm
(v)

9.33 cm

Question 13

13.

A triangular park has sides 190 m, 170 m and 190 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 ₹30 per metre leaving a space of 2 m wide for the gate on one side.

(i)

₹13840.00
(ii)

₹17740.00
(iii)

₹17840.00
(iv)

₹16440.00
(v)

₹15940.00

Question 14

14.

In an isosceles triangle △ABC, the corresponding height of the side BC is 12.69 cm and area is 101.51 sq.cm, then corresponding height of side AB =

(i)

16.53 cm
(ii)

10.53 cm
(iii)

13.53 cm
(iv)

18.53 cm
(v)

8.53 cm

Question 15

15.

A farmer has a piece of land in the shape of a rhombus. He decided to divide the land into two equal parts such that both his son and daughter could work on the land to produce different crops. If the perimeter of the land is 520.00 m and one of the diagonals is 110 m, how much area will each get for their crops?

(i)

6248.57 sq.m
(ii)

6508.57 sq.m
(iii)

6328.57 sq.m
(iv)

6758.57 sq.m
(v)

6478.57 sq.m

Question 16

16.

In an isosceles triangle △ABC, the corresponding height of the side BC is 10.72 cm and area is 96.51 sq.cm, then side CA =

(i)

9.00 cm
(ii)

19.00 cm
(iii)

17.00 cm
(iv)

11.00 cm
(v)

14.00 cm

Question 17

17.

A field is in the shape of a trapezium whose parallel sides are 14 m and 4 m. The non parallel sides are 19 m and 27 m. Find the area of the field.

(i)

145.23 sq.m
(ii)

118.23 sq.m
(iii)

129.23 sq.m
(iv)

121.23 sq.m
(v)

93.23 sq.m

Question 18

18.

Some volunteers on a cleanliness drive decided to clean an open ground in the shape of a quadrilateral ABCD, where AB = 13.00 m, BC = 12.00 m, CD = 20.00 m, and DA = 18.00 m. They split into two groups m and n and started cleaning on either sides of the diagonal BD. Group m marked their perimeter which is of length 49 m. Which group cleaned more area ? Find the total area cleaned by both groups.

(i)
group m

,

239.73 sq.m
(ii)
group m

,

215.73 sq.m
(iii)
group n

,

227.73 sq.m
(iv)
group m

,

212.73 sq.m
(v)
group n

,

189.73 sq.m

Question 19

19.

In an isosceles triangle △ABC, if base BC = 18 cm and the corresponding height is 13.23 cm, then side CA =

(i)

11.00 cm
(ii)

21.00 cm
(iii)

13.00 cm
(iv)

19.00 cm
(v)

16.00 cm

Question 20

20.

In △PQR, if QR = 11 cm, RP = 19 cm and perimeter = 50 cm, then area of the triangle =

(i)

117.47 sq.cm
(ii)

110.47 sq.cm
(iii)

95.47 sq.cm
(iv)

78.47 sq.cm
(v)

102.47 sq.cm

Question 21

21.

In an isosceles triangle △ABC, if base BC = 16 cm and the corresponding height is 12.69 cm, then corresponding height of side AB =

(i)

13.53 cm
(ii)

8.53 cm
(iii)

10.53 cm
(iv)

16.53 cm
(v)

18.53 cm

Question 22

22.

In an isosceles triangle △ABC, if base BC = 13 cm and the corresponding height is 10.09 cm, then area of the triangle =

(i)

60.57 sq.cm
(ii)

68.57 sq.cm
(iii)

62.57 sq.cm
(iv)

70.57 sq.cm
(v)

65.57 sq.cm

Question 23

23.

Saraswathi has a triangular field with sides 50 m, 140 m and 110 m. She wanted to grow brinjals and chillies. She divided the field into two parts by joining the mid-point of the longest side to the opposite vertex, and grew brinjals in one part and chillies in the other part. How much area has been used for brinjals.

(i)

1254.74 sq.m
(ii)

1454.74 sq.m
(iii)

1224.74 sq.m
(iv)

974.74 sq.m
(v)

1184.74 sq.m

Question 24

24.

In △PQR, if QR = 13 cm, RP = 11 cm and the corresponding height of side QR = 8.87 cm, then area of the triangle =

(i)

54.68 sq.cm
(ii)

57.68 sq.cm
(iii)

52.68 sq.cm
(iv)

60.68 sq.cm
(v)

62.68 sq.cm

Question 25

25.

In an isosceles triangle △ABC, if BC = 19 cm, AB = CA = 18 cm, then area of the triangle =

(i)

145.24 sq.cm
(ii)

160.24 sq.cm
(iii)

128.24 sq.cm
(iv)

169.24 sq.cm

Assignment Key