Question

A square has a perimeter of 16.4 inches. The
area of the square is
square inches.

Answer 1

area = 8.2 sq inch

Explanation:

Answer 2

The area of square is 16.81 in².

Explanation:

Solution :

Firstly, finding the length of side of square by substituting the values in the formula :

`\begin{gathered} \qquad{\twoheadrightarrow{\sf{Perimeter_((Square)) = 4 * Side}}} \\ \\ \quad{\twoheadrightarrow{\sf{16.4 = 4 * Side}}} \\ \\ \quad{\twoheadrightarrow{\sf{Side = (16.4)/(4)}}} \\ \\ \quad{\twoheadrightarrow{\sf{\underline{\underline{Side = 4.1 \: in}}}}}\end{gathered}`

Hence, the length of side of square is 4.1 in.

`\begin{gathered}\end{gathered}`

Now, finding the area of square by substituting the values in the formula :

`\begin{gathered} \qquad{\twoheadrightarrow{\sf{Area_((Square)) ={(Side)}^(2)}}} \\ \\ \qquad{\twoheadrightarrow{\sf{Area_((Square)) ={(4.1)}^(2)}}} \\ \\ \qquad{\twoheadrightarrow{\sf{Area_((Square)) ={(4.1 * 4.1)}}}} \\ \\ \quad{\twoheadrightarrow{\sf{\underline{\underline{Area = \: 16.81 \: {in}^(2)}}}}} \end{gathered}`

Hence, the area of square is 16.81 in².

`\rule{300}{2.5}`