Question

If the perimeter of square is 28² cm .Find its area

Ans.=
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Answer 1

★ Answer :

The area of the square is 49 cm²

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★ Explanation :

• Perimeter of square is 28 cm

We know that,

$\underline{\boxed{\boxed{\bf{ Perimeter = 4 \times side}}}}$

$\implies$ $\sf{ 28 \ cm= 4 \times Side}$

$\implies$ $\sf{ Side = \dfrac{\cancel{28}}{\cancel{4}}}$

$\implies{\sf{Side = 7 \ cm}}$

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We know that,

$\underline{\boxed{\boxed{\bf{Area = side^2}}}}$

$\implies$ $\sf{ Area = 7^2}$

$\implies$ $\sf{Area = 49 \ cm^2}$

Answer 2

As per the data given in the above question.

The given data is as follow,

Perimeter of square is 28 cm

We have to find the area of a square.

Here to calculate the area we have to find the side of square.

Thus, the perimeter of a square is P=4a

where a is side of square.

So,

$p = 4a \\ 28 = 4 \times a \\ a = \frac{28}{4} \\ a = 7$

Therefore the area of square is A=

$a {}^{2}$

$= 7 {}^{2} \\ = 49$

Hence the area of a square is 49sqcm

Note:-f the perimeter of square is 28 cm .Find its area