Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the perimeter of a rectangle is 16 inches. the equation that represents…

Question

the perimeter of a rectangle is 16 inches. the equation that represents the perimeter of the rectangle is 2l + 2w = 16, where l represents the length of the rectangle and w represents the width of the rectangle. which value is possible for the length of the rectangle? 7 in. 8 in. 9 in. 10 in.

Explanation:

Step1: Solve the perimeter equation for \(l\)

Given \(2l + 2w=16\), divide both sides by 2: \(l + w = 8\), then \(l=8 - w\).
Since \(w>0\), \(l<8\).

Answer:

7 in.