a garden is 200m long and 160m broad.in its middle there is a circular tank of radius 28m. find the cost of covering the remaining portion of the with grass at the rate of 50 paise per sq metre.
Answers
The cost of covering the remaining portion of the with grass at the rate of 50 paise per sq metre is Rs. 14768.
Step-by-step explanation:
The dimensions of the garden:
Length, l = 200 m
Breadth, b = 160 m
∴ The area of the garden = l * b = 200 * 160 = 32000 m²
The dimension of the circular tank in the middle of the garden:
Radius, r = 28 m
∴ The area of the circular tank = π r² = 22/7 * 28 * 28 = 2464 m²
Now,
The area of the remaining portion of the garden is,
= [Area of the garden] – [Area of the circular tank]
= 32000 m² – 2464 m²
= 29536 m²
Thus,
The cost of covering the remaining portion of the garden with grass at the rate of 50 paise per sq metre is,
= 29536 m² * Rs. 0.50
= Rs. 14768
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