Question

1) Perimeter of a square is 20 cm, then what will be the area of that square​

Answer 1

Answer :

• 25 cm²

Given :

• The perimeter of Square = 20 cm

To find :

• the area of that square​

Solution :

⇒ Let's first, find the side of the square.

$\rightarrow \sf Perimeter \: of \: Square = 4 \times s$

$\rightarrow \sf 20 = 4 \times s$

$\rightarrow \sf s = \dfrac{20}{4}$

$\rightarrow \sf s = \cancel{\dfrac{20}{4} }$

$\rightarrow \sf s = 5 cm$

⇒ Now, since we have found the side of the square. We can find the Area of the square easily.

$\rightarrow \sf Area \: of \: Square = s^{2}$

$\sf = 5^{2}$

$\sf = 5 \times 5$

$\sf = 25 cm^2$

• Therefore, the Area of the square is 25 cm².

Answer 2

Question :-

• If Perimeter of square is 20 cm , then calculate the Area of the Square .

Answer :-

• Area of Square is 25 cm² .

$\rule {195pt}{2pt}$

Given :-

• Perimeter of Square = 20 cm

To Find :-

• Area of Square = ?

Solution :-

As per the provided information in the given question, we have been given that Perimeter of Square is 20 cm . And, we have been asked to calculate the Area of Square .

For calculating the Area of Square , first we need to find Side of Square .

Formula Required :-

$\bigstar \: \: \boxed{ \sf \pink{ \: Perimeter \: = \: 4 \: \times \: Side \: }}$

Therefore, by Substituting the given values in the above Formula :-

$\longmapsto \: \: \sf{20 \: = \: 4 \: \times \: Side}$

$\longmapsto \: \: \sf{Side \: = \: \dfrac{20}{4} }$

$\longmapsto \: \: \textbf {\textsf{Side \: = \: 5 \: cm}}$

Here, we get the value of Side . Now, for calculating the Area of Square :-

Formula Required :-

$\bigstar \: \: \boxed{ \sf \pink{ \: Area \: of \: Square \: = \: ( \: side \: ) \: ^{2} \: }}$

Therefore, by Substituting the given values in the above Formula :-

$\longmapsto \: \: \sf{Area \: of \: Square \: = \: ( \: 5 \: ) \: ^{2} }$

$\longmapsto \: \: \sf{Area \: of \: Square \: = \: 5 \: \times \: 5 }$

$\longmapsto \: \: \textbf {\textsf{Area \: of \: Square \: = \: 25 \: cm}}$

Hence :-

• Area of Square = 25 cm² .

$\rule {195pt}{4pt}$

$\begin{gathered} \begin{gathered} \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Square} = Side \times Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _{Rectangle} = Lenght \times Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Triangle} = \dfrac{1}{2} \times Base \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Parallelogram} = Base \times Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Trapezium} = \dfrac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _{Rhombus} = \dfrac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} \end{gathered} \end{gathered}$