Question
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There is a square park in the society. The management wants to put a circular fountain at the centre of the park with diameter 14 m. The remaining area is to be covered with grass. If the cost of laying grass is ₹ 20 per m2 and the cost of constructing the fountain is 10 per m2 . Find the length of the field if the total cost incurred is ₹ 6460 .( Use π = 22/7)
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Answer: Option A
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Diameter of a circular fountain= 14 m, so radius = 7 m.
Let the length of the square be 'a'.
Total cost = cost of fountain + cost of grass.
Hence, ₹ 6460 = (area of fountain x cost per m2) + (area of square park -area of circular fountain) x (cost for grass per m2)
6460 = (π(7)2×10)+((a2−π(7)2×20)
6460 = (154×10)+(a2−154)×20
6460 =1540+(a2−154)×20
a = 20 m.
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