Question

what is the area of that square whose perimeter is 40m.​

Answer 1

Answer:

perimeter of a square= 4 × sides

4 × side = 40m

side = 40÷4

side = 10m

area of the square = side^2

=10 × 10

= 100m^2

Answer 2

Given :-

• A square whose side = 40m

$\:$

To find :-

• What is the area of the square.

$\:$

Formula Used :-

♣️ Perimeter Of Square Formula :

★ $\: \pink{ \boxed{ \bf Perimeter_{(Square)} \: = \: 4×Side}}$★

♣️ Area Of Square Formula :

★ $\: \pink{ \boxed{ \bf Area_{(Square)} \: = \: Side×Side}}$★

$\:$

Solution :-

First, We have to find the side of the square :

Given :

• perimeter = 40m

According to the question by using formula we get,

$\implies \bf Perimeter_{(Square)} \: = \: 4×Side$

$\implies \sf \: 40m\: = \: 4×Side$

$\displaystyle\implies \sf \: \cancel\frac{40}{4} \: = \:Side$

$\displaystyle\implies \sf \: 10 \: = \:Side$

$\displaystyle\implies \bf \: \purple{Side \: = \: 10m}$

Hence, the side of the square is 10m .

$\:$

Now, We have to find the area of the square :

$\implies \: \bf Area_{(Square)} \: = \: Side×Side$

$\implies \: \sf Area_{(Square)} \: = \: 10 \times 10$

$\implies \: \bf \red{Area_{(Square)} \: = \: 100 }$

∴ Hence, the required perimeter of the square is 100 m² .

$\:$

▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂