Question

The perimeter of a square is 20cm. find the side
measurement and area.

Answer 1

Given :

• Perimeter of Square = 20 cm

To Find :

• Side of Square = ?
• Area of Square = ?

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SolutioN :

$\dag$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Perimeter {\small_{(Square)}} = 4 \times Side }}}}}$

• ${\underline{\boxed{\pmb{\sf{ Area {\small_{(Square)}} = {Side}^{2} }}}}}$

$\dag$ Calculating the Side :

$\begin{gathered} \qquad \; \implies \; \; \sf { Perimeter = 4 \times Side } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \implies \; \; \sf { 20 = 4 \times Side } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \implies \; \; \sf { \dfrac{20}{4} = Side } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \implies \; \; \sf { \cancel\dfrac{20}{4} = Side } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \implies \; \; \sf { \dfrac{20}{4} = Side } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \implies \; \; {\underline{\boxed{\pmb{\sf { Side = 5 \; cm }}}}} \; {\purple{\pmb{\bigstar}}} \\ \\ \\ \end{gathered}$

$\dag$ Calculating the Area :

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = {Side}^{2} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = {5}^{2} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = 5 \times 5 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; {\underline{\boxed{\pmb{\sf { Area = 25 \; {cm}^{2} }}}}} \; {\orange{\pmb{\bigstar}}} \\ \\ \\ \end{gathered}$

$\therefore \;$ Area of the Square is 25 cm² .

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Answer 2

Answer: 5 cm on each side. The area is 25sq.units.

Step-by-step explanation: A square has 4 sides and 20 /4=5

The area is 25 because 5*5=25