A rectangular garden is 120 m long and 90 m wide. In the middle of the ground, there is circular tank of radius 21 m. Find the cost of turfing the remaining portion at the rate of ₹4.50 per square metre.
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Answer:
The cost of turfing the remaining portion of the rectangular garden is ₹ 42,363
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Given: 1) Length of the rectangular garden = 120m
2) width of the rectangular garden = 90m
3) radius of the circular tank in the middle of the garden = 21m
4) cost of turfing the remaining portion of the garden = rs 4.50 per square metre
To find: cost of turfing the remaining garden
So,
area of the remaining portion of the garden = area of the rectangular garden - area of the circular tank
So the area of the rectangular garden = length x width
= 120m x 90m
=10,800m
And, the area of the circular tank = 22/7 x r x r
= 22/7 x 21 x 21
= 22 x 21 x 3
= 462 x 3
=1386m
Therefore, the area of the remaining garden is 10800m - 1386m = 9414m
So, the cost of turfing the remaining garden = 9414m x Rs 4.50 per square metre
= Rs 42,363
2) width of the rectangular garden = 90m
3) radius of the circular tank in the middle of the garden = 21m
4) cost of turfing the remaining portion of the garden = rs 4.50 per square metre
To find: cost of turfing the remaining garden
So,
area of the remaining portion of the garden = area of the rectangular garden - area of the circular tank
So the area of the rectangular garden = length x width
= 120m x 90m
=10,800m
And, the area of the circular tank = 22/7 x r x r
= 22/7 x 21 x 21
= 22 x 21 x 3
= 462 x 3
=1386m
Therefore, the area of the remaining garden is 10800m - 1386m = 9414m
So, the cost of turfing the remaining garden = 9414m x Rs 4.50 per square metre
= Rs 42,363
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