The area of a square shaped field is $1764 \mathrm{~m}^2$. The breadth of a rectangular park is $\frac{1}{3} r d$ the side of the square field and its length is two times its breadth. What is the cost (in ₹) of levelling the park at ₹ 15 per $m^2$ ?
Answer & explanation
Correct answer: option 3
We know that,
Area of square = side2
Area of rectangle = length × breadth
We have,
Area of a square field = 1764 sq.m
According to the question,
Side of square field = \(\sqrt {1764 }\) = 42 m
Breadth of rectangular field = 42 × \(\frac{1}{3}\) = 14 m
Length of rectangular field = 14 × 2 = 28 m
Area of rectangular field = 14 × 28 = 392 sq.m
So, Cost of levelling park = 15 × 392 = Rs.5880