Question

The area of a square is 49 sq. M then it's perimeter is _________

Answer 1

The perimeter of a square is 28m

Explanation:

Given:

1. The area of a square is 49 sq.m

To find:

The Perimeter of a square

Formula:

Area of a square = a²

Perimeter of a square = 4a

From the given,

==> Find a to find the perimeter of a square

==> The area of a square is 49 sq.m

==> a² = 49

==> Taking square roots on both sides

==> √a² =√49

==> a = √49

==> a=7

Substitute a in the perimeter formula

Perimeter of a square = 4a

P = 4(7)

Perimeter = 28 m

The perimeter of a square is 28m

Answer 2

To find : perimeter of square

Given : area of square is $49$ $m^{2}$ .

Solution :

• We know that all four sides of square are equal .
• If ' $a$ ' is the side of square then area of square is given by,
• Area of square $= a^{2}$
• Therefore, by using above formula we find side of square.  

         $49 = a^{2} \\a = 7\ m$  

• Hence, side of square is $7\ m$ .
• Now , perimeter is given by ,
• Perimeter of square = $4a$

                                         $= 4\times 7 \\= 28\ m$

Hence, perimeter of square is $28 \ m$ .