The perimeter of a square piece of land is 64 m. Find the cost of laying a lawn on the land at the cost of Rs 5 per sq. m.

The correct answer is: Cost of laying lawn on the given land is Rs. 1,280

Hint:-
i. Perimeter of a square = 4 * side
ii. Area of a square = (side)2
Step-by-step solution:-
We know that
Perimeter of a square = 4 * side
∴ Perimeter of the given square = 4 * side
∴ 64 = 4 * side .................................... (From given information)
∴ 64 / 4 = side
∴ 16 = side
i.e. side of the given square = 16 m ....................................... (Equation i)
Now, we know that-
Area of a square = side2
∴ Area of the given square = side2
∴ Area of the given square = 162 ................................................. (From Equation i)
∴ Area of the given square = 256 m2 ........................................... (Equation ii)
Now, Cost of laying a lawn @ Rs. 5 per sq. mt. = Area of the square * rate
Cost of laying a lawn @ Rs. 5 per sq. mt. = 256 m2 * Rs. 5 per sq. mt. ......................... (From Equation ii)
∴ Cost of laying the given lawn @ Rs. 5 per sq. mt. = Rs. 1,280.
Final Answer:-
∴ Cost of laying lawn on the given land is Rs. 1,280.