The area of a square shaped field is $1764 \mathrm{~m}^2$. The breadth of a rectangular park is $\frac{1}{6}$ th of the side of the square field and the length is four times its breadth. What is the cost (in ₹) of levelling the park at ₹30 per $\mathrm{m}^2$ ?

5880

We know that,

Area of square = side²

Area of rectangle = length × breadth

We have,

Area of field = 1764

Side = \(\sqrt {1764}\) = 42 m

Breadth = 42 × \(\frac{1}{6}\) = 7 m

Length = 7 × 4 = 28 m

Area of rectangular field = 7 × 28 = 196 m²

The cost (in ₹) of levelling the park at ₹30 per $\mathrm{m}^2$ = 196 × 30 = 5880