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: Rearrange the perimeter formula

Given $2l + 2w=16$, we can simplify it to $l + w = 8$ (divide both sides by 2), so $w=8 - l$. Since the width $w>0$, then $8 - l>0$.

Step2: Solve the inequality for $l$

From $8 - l>0$, we get $l<8$.

Answer:

A. 7 in.