Respuesta :

Given: A square with an area of 225 square inches.

Required: To determine the perimeter of the square.

Explanation: Let the edge of the square be x inches. Then the area of the square is-

[tex]\begin{gathered} Area=(edge)^2 \\ =x^2 \end{gathered}[/tex]

According to the question, the area of the square is 225 square inches. Hence-

[tex]\begin{gathered} x^2=225 \\ x=\sqrt{225} \\ x=15\text{ inches} \end{gathered}[/tex]

Now, the perimeter of the square is-

[tex]\begin{gathered} Perimeter=4\times edge \\ =4\times15 \\ =60\text{ inches} \end{gathered}[/tex]

Final Answer: The perimeter of the square is 60 inches.