Question

What is the length of the side of a square whose area is 256sq.cm

Answer 1

$\boxed{MUST\:\:TO\:\:KNOW :}$






✒️ For a square, its four sides are equal.

✒️ The measurement of each of the four angles is 90°.

✒️ Perimeter of a square = 4 × side

✒️ Area of a square = (Side)²

✒️ Diagonal of a square = √2 × side

✒️ Units should be mentioned carefully.

✒️ Without any units, your solution has no value.


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$\bold{\huge{SOLUTION \: :}}$

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Area of square = 256

=> (side)² = 256

=> side = √256 = ± 16

We cannot accept - 16 cm because length of a side cannot be negative. Hence, only positive value is applicable.


Therefore, side of a square = 16 cm.

Thus, we get the length of each side of this square is 16 cm.

Answer 2

area of square is given as 256 sq.cm in the given question

side^2=256 sq.cm {area}

side=√256 cm

side=16 cm