Answer:
The length of each side of the frame is 5 inches.
Explanation:
Given a square-shaped picture frame with:
• The perimeter = 20 inches
,
• The area = 25 square inches
We want to find the length of each side of the frame.
The perimeter of a square of side length, s is calculated using the formula:
![P=4s](https://img.qammunity.org/2023/formulas/mathematics/college/g8265a65lh3a9zmbsq0j8d1z3s9ywj8e80.png)
Substitute P=20:
![20=4s](https://img.qammunity.org/2023/formulas/mathematics/college/h94tyk4698swbzlhntj4yo5r5zp1fvrmfq.png)
Divide both sides of the equation by 4:
![\begin{gathered} (20)/(4)=(4s)/(4) \\ s=5\text{ inches} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/niefzdt8956s2zrckzkn4wk2z7daa9mst6.png)
The length of each side of the frame is 5 inches.