Topic: Area and Volume
1. Harijan wants to make the garden of length 70ft and breadth 40 ft and makes badminton court of length 20ft and width of 10ft.
a. Find the area of the garden.
b. Find the area of the badminton court.
c. Find the area of the garden without a badminton court.
d. Find the cost of paving the area of the garden without a badminton court at the rate of Rs. 135 per m2.
2. A square pond of length 5m is constructed inside the trapezium field having parallel length of the field as 25m and 35m and remaining two sides of the trapezium field is 15m and 17m
a. Write the formula to find the area of the trapezium.
b. Find the area covered by the trapezium field.
c. Find the area of the pond.
d. What is the remaining area of the field beside the pond.
3. Rectangular land has area of 1000m2 and breadth 20m.
a. Write the formula to find the area of rectangle.
b. Find the length of the land.
c. Find the length of the netted fence of 2m height to fence the field.
d. Find the cost of the netted fence of 2m height if the cost of length of fence is Rs. 95 per metre.
4. Mr. X has a regular triangular field of length 60ft.
a. Write the formula of find the area of an equilateral triangle.
b. Find the area of the field.
c. Find the perimeter of the regular triangular field.
d. Find the cost of casting dubo at the rate of Rs. 40 per m2.
5. The area of the rectangular playground of dimensions 48m long and 27m broad is equal to the area of the square playground.
a. Find the area of the rectangular playground.
b. Find the area of the square playground.
c. Find the total length of the rectangular playground.
d. Find the difference between the length of the rectangular field and the length of the square field.
6. A square field of area 1225m2 which is equal to the area of rectangular field of length 45m
a. Find the area of the rectangular field.
b. Find the length of square field.
c. Find the area of the rectangular field if its length is doubled.
d. Find the difference between the length of the rectangular field and the length of the square field.
7. A circular pond has a radius of 20m. A stone paved path of 3m wide is running outside the circular pond.
a. Find the area of the pond.
b. Find the area of the path running outside the circular pond.
c. Find the area of the pond including the area of the path running.
d. Find the cost of the path to pave it with stone at the rate of Rs.150 per m2.
8. A circular pond has a radius of 30m. A stone paved path of 5m wide is running inside the circular pond.
a. Find the area of the pond.
b. Find the area of the path running inside the circular pond.
c. Find the area of the actual pond.
d. Find the cost of the path to pave it with stone at the rate of Rs.175 per m2.
9. Dhanapati and Dhanaprasad construct two circular gardens of 50m and 60m radius respectively.
a. Find the area of the garden constructed by Dhanapati.
b. Find the area of the garden constructed by Dhanaprasad.
c. Find the length of the wire to fence the garden constructed by Dhanapati.
d. Find how much the length of the more wire is needed to fence the garden constructed by Dhanaprasad with respect to Dhanapati.
10. Sita created the semicircular garden of perimeter 72m.
a. Write the formula to find the perimeter of the semicircular garden.
b. Find the radius of the garden.
c. Find the area of the garden.
d. Find the cost of keeping the Chinese dubo at the rate of Rs. 45 per m2.
Answers:
1.a. 2800 ft2
1.b. 200 ft2
1.c. 2600 ft2
1.d. Rs. 3,51,000
2.a. (p1 + p2)
h
2.b. 450m2
2.c. 25m2
2.d. 425m2
3.a. l b
3.b. 50m
3.c. 140m
3.d. Rs. 13,300
4.a. . √3/4 a2
4.b. 158.85ft2
4.c. 180 ft
4.d. Rs. 62,354
5.a. l b
5.b. 1296 m2
5.c. 75m
5.d. 12m
6.a. 1225m2
6.b. 35m
6.c. 2430m2
6.d. 10m
7.a. 400m2
7.b. 1678m2
7.c. 2934.95m2 (approx.)
7.d. Rs. 2,51,246.50
8.a. 30m2
8.b. 5m2
8.c. 471.24m2
8.d. Rs. 4,12,066
9.a. 2500m2
9.b. 3600m2
9.c. 100m
9.d. 68.32m
10.a (2r + r)
10.b. 13.98m
10.c. 307.78m2
10.d. Rs. 13,850
