Question

If area of square is 16 cm,find its perimeter

Answer 1

Correct Question

• If area of square is 16cm², find its perimeter.

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Given

• Area of the square is 16cm².

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To find

• Perimeter of the square.

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Solution

• Since, all the sides of a square are equal.

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$\: \: \: \: \: \: \: \: \: \:\underline{\sf{\red{As\: we\: know}}}$

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$\large{\boxed{\boxed{\bf{Area_{(Square)} = (side)^2}}}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {(side)^2 = 16}$

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$\tt:\implies\: \: \: \: \: \: \: \: {side = \sqrt{16}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {side = 4cm}$

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• Now, we have side of the square.

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$\: \: \: \: \: \: \: \: \: \:\underline{\sf{\red{Finding\: perimeter}}}$

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$\large{\boxed{\boxed{\sf{Perimeter_{(Square)} = 4 \times side}}}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {Perimeter = 4 \times 4}$

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$\tt:\implies\: \: \: \: \: \: \: \: {Perimeter = 16 cm}$

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Hence,

• The perimeter of the square is 16cm.

Answer 2

Question ::-

If area of square is 16${cm}^{2}$ ,find its perimeter ?

Given ::-

• Area of square = 16 cm.

To find::-

• Perimeter of square ?

Formula used ::-

Area of square = side × side

= ${(side)}^{2}$

Perimeter of square = 4 × side

Solution ::-

Area = ${(side)}^{2}$

16 = ${(side)}^{2}$

$\sqrt{16}$ = side

4 = side of square.

Hence , side of a square is 4 cm.

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Perimeter of square = 4 × side

Perimeter = 4 × 4

Perimeter = 16 cm.

therefore , perimeter of square is 16 cm