Question

Find the perimeter of the square if it's area is 64cm^2.​

Answer 1

Taking side as =x

$\color{black}\boxed{\colorbox{saffron}{Area - side×side}}$

${64}^{2} = x \times x \\ \\ {x}^{2} = {64}^{2} \\ \\ x = 8 \times 8 \\ \\ x = 8$

Side = 8cm

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Perimeter -

$\color{black}\boxed{\colorbox{saffron}{Perimeter-4×side}}$

4×8

= 32cm

Answer 2

Given

• Area of the square is 64cm².

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To find

• Perimeter of the square.

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Solution

• We have area of the square and need to find its perimeter. For that we need the side of the square.

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$\star{\boxed{\sf{\orange{Area_{(Square)} = (side)^2}}}}$

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→ Area = 64

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→ (side)² = 64

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→ side = √64

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→ side = 8cm

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• Now, we have each side of the square. Let's find out the perimeter of the square.

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

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→ Perimeter = 4 × 8

→ Perimeter = 32cm

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Hence,

• Perimeter of the square is 32cm.