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What is the area of the square field, if its perimeter is 96 m?

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566

m^{2}

576

m^{2}

586

m^{2}

596

m^{2}

answer is B.

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Detailed Solution

It is required to find the area of the square field, if its perimeter is 96 m.
A square field with a side of x units has a perimeter of 4x units.
Let the length of the square field’s side be x meters.
Area of a square is

x 2

.
Perimeter of the square = 4x meter, so by the given condition,

⇒ 4 x = 96 ⇒ x = 24

Hence the area of the square field is given by,

⇒ 242 m 2 ⇒ 576 m 2

Therefore, if a square field's perimeter is 96 meters, its area is 576

m 2

.
Therefore, option 2 is correct.

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