Question

The cost of fencing of a square garden is 900 at the rate 25 per meter. Find the area of the garden​

Answer 1

Answer:

81m²

Step-by-step explanation:

We are given the total cost of fencing to be Rs 900

The rate of fencing is given as Rs 25/m

Fencing is done at the edges of the garden, essentially its perimeter.

Since it is a square garden, its perimeter is 4 times its side.

Now,

Perimeter × Rate of fencing = Total cost of fencing

Let the side of the square garden be x m

$4x \times 25 = 900 \\ 4x = \frac{900}{25} \\ 4x = 36 \\ x = \frac{36}{4} \\ x = 9$

Thus the side of the square garden is 9 m long

We can easily find the garden's area using this

Area = side²

${x}^{2} = {9}^{2} = 81$

Hence the area of the garden is 81m²