Question

The cost of fencing a square park at the rate of ₹ 31.25 per metre is ₹3312.50. Find the length of each side of the park

Answer 1

Given data :-

cost per meter = ₹ 31.25

total cost = ₹ 3312.50

solution : consider rate for one side of the square park = x

perimeter of square = 4x

4x = 3312.50

x  = 3312.50 ÷  4

x  = ₹ 828.125

length of one side = 828.125÷ 31.25

                               = 26.5 m

Answer 2

$<b><u><i>Hey mate!! Here's your answer</i></u></b>$
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$\huge{Given-}$

The cost of fencing a square park at the rate of 31.25 Rs/m is 3312.50 Rs.

$\huge{To\: Find}$

Length of each side of the park.

$\huge{Solution}$

$<i><u>Firstly, fencing is covering the outer boundaries (perimeter) </u></i>$

Cost of fencing 1 m = 31.25 Rs.

Cost of fencing the square park = 3312.50 Rs.

Therefore,

Perimeter of the park
= Total cost of fencing / cost of fencing 1 m
= 3312.50/31.25
= 331250/3125
= 106

Hence, perimeter of the square park = 106 m

Now, we know that perimeter of a square is 4 times it's side.

Then,
Perimeter = 4 × side
=> 106 = 4 × side
=> side = 106/4
=> side = 26.5

Hence, one side of the square park = 26.5 m.

Now, a square has all sides equal.

Hence, each side of the square park
$\boxed{\mathcal{\red{=\: 26.5 \:m}}}$
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$\huge{\bold{\mathcal{\pink{Thank\: you}}}}$