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 equation for \(w\)

Given \(2l + 2w=16\), divide the entire equation by \(2\) to get \(l + w = 8\), then \(w=8 - l\).
Since \(w>0\) (width cannot be non - negative), we have \(8 - l>0\).

Step2: Solve the inequality for \(l\)

From \(8 - l>0\), add \(l\) to both sides of the inequality: \(8>l\) or \(l < 8\).

Answer:

A. 7 in.