Maths-

General

Easy

Question

# 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.

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