Answer:
The area of square is 16.81 in².
Step-by-step explanation:
Solution :
Firstly, finding the length of side of square by substituting the values in the formula :
[tex] \begin{gathered} \qquad{\twoheadrightarrow{\sf{Perimeter_{(Square)} = 4 \times Side}}} \\ \\ \quad{\twoheadrightarrow{\sf{16.4 = 4 \times Side}}} \\ \\ \quad{\twoheadrightarrow{\sf{Side = \dfrac{16.4}{4}}}} \\ \\ \quad{\twoheadrightarrow{\sf{\underline{\underline{Side = 4.1 \: in}}}}}\end{gathered}[/tex]
Hence, the length of side of square is 4.1 in.
[tex]\begin{gathered}\end{gathered}[/tex]
Now, finding the area of square by substituting the values in the formula :
[tex] \begin{gathered} \qquad{\twoheadrightarrow{\sf{Area_{(Square)} ={(Side)}^{2}}}} \\ \\ \qquad{\twoheadrightarrow{\sf{Area_{(Square)} ={(4.1)}^{2}}}} \\ \\ \qquad{\twoheadrightarrow{\sf{Area_{(Square)} ={(4.1 \times 4.1)}}}} \\ \\ \quad{\twoheadrightarrow{\sf{\underline{\underline{Area = \: 16.81 \: {in}^{2}}}}}} \end{gathered}[/tex]
Hence, the area of square is 16.81 in².
[tex]\rule{300}{2.5}[/tex]
