Question

The area of a square is 256 sq cm.Find the length of each side of the square​

Answer 1

Answer:

16cm

Step-by-step explanation:

Area of square = S x S

= S x S = 256 cm square

= √256

= 16 cm

Therefore length of each side of square is 16cm

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Answer 2

Given

• Area of square is 256 cm².

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To find

• Length of each side of the square.

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Solution

• As we know that each side of a square is equal in length.
• Now, we have area of the square and need to find the length of each side.

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$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(4,0){2}{\line(0,1){4}}\multiput(0,0)(0,4){2}{\line(1,0){4}}\put(-0.5,-0.5){\bf D}\put(-0.5,4.2){\bf A}\put(4.2,-0.5){\bf C}\put(4.2,4.2){\bf B}\put(1.5,-0.6){\bf\large x\ cm}\put(4.4,2){\bf\large x\ cm}\end{picture}$

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• Letting the each side of the square be x.

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$\: \: \: \: \: \: \: \: \: \:\underline{\sf{\red{Formula\: used}}}$

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

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• Solving for the x

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$\tt\longmapsto{Area = 256}$

$\tt\longmapsto{x^2 = 256}$

$\tt\longmapsto{x = \sqrt{256}}$

$\tt\longmapsto{x = 16}$

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Hence,

• The length of each side of the square is 16cm.

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