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 $\mathrm{m}^2$ ?
Answer & explanation
Correct answer: option 1
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