Question

the perimeter of a square field is 152 metre. find its area. ​

Answer 1

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☞ Given :-

Perimeter of square field = 152 metres.

☞ To find :-

Area

☞ Formulae Involved :-

$\implies \: perimeter \: \: of \: square = 4 \times side$

$\implies \: area \: \: of \: square = {side}^{2}$

☞ Solution :-

According to question,

$\implies \: perimeter = 152 \: m$

$\therefore \: side \: = \frac{perimeter}{4} \\ \\ \implies \: \frac{152}{4} \\ \\ \implies \: 38 \: cm$

Now we have to find area of square field,

$\implies \: area = {side}^{2} \\ \\ \implies \: {38}^{2} \\ \\ \implies \: 1444 \: {m}^{2}$

☞ Hence area of square field is

$1444 \: {m}^{2}$

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