Question

find the length of square of one side of a square of area 5sq.m find its perimeter?​

Answer 1

Answer:

Answer is 4 × root 5

As area = side x side

therefore side = square root of area

Answer 2

GIVEN :-

• Area of square = 5 cm².

TO FIND :-

• The perimeter of the square.
• length of one side of a square.

SOLUTION :-

As we know that the area of square is given by the expression,

$\\ : \implies \displaystyle \sf \: Area _{(square)} = side \times side$

$: \implies \displaystyle \sf \: 5 \: cm = (side) ^{2}$

$: \implies \underline{ \boxed{ \displaystyle \sf \: side = \sqrt{5} \: cm}}$

Now by substituting the value of length of one side of square we will find the perimeter of the square.

As we know that the perimeter of a square is given by the expression,

$\\ : \implies \displaystyle \sf \:Perimeter_{(square)} = 4 \times side$

$: \implies \displaystyle \sf \: Perimeter_{(square)} = 4 \times \sqrt{5} \: cm$

$: \implies \underline{ \boxed{ \displaystyle \sf \: Perimeter_{(square)} = 4 \sqrt{5} \: cm}}$