A square field and an equilateral triangle park have equal perimeter. If the cost of ploughing the field at the rate of Rs 5/m2 is Rs 720. Find the cost of maintaining the park at the rate of Rs 10/m2?
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area of square = S²
total cost to plough the field = area x cost
720 = S² x 5
S= 12m
As the perimeter is equal
so, perimeter of square = perimeter of triangle
4S = 3 x side of triangle
48 = 3a
a = 16
area of equilateral triangle = √3/ 4a²
= √3 / 4 x 16²
= 108.8 m²
total cost = 10 x 108.8
= 1088 rs
total cost to plough the field = area x cost
720 = S² x 5
S= 12m
As the perimeter is equal
so, perimeter of square = perimeter of triangle
4S = 3 x side of triangle
48 = 3a
a = 16
area of equilateral triangle = √3/ 4a²
= √3 / 4 x 16²
= 108.8 m²
total cost = 10 x 108.8
= 1088 rs
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