the perimeter of a rectangle is 16 inches. the equation that represents the perimeter of the rectangle is 2l…

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?\no 7 in.\no 8 in.\no 9 in.\no 10 in.

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?\no 7 in.\no 8 in.\no 9 in.\no 10 in.

Answer

Explanation:

Step1: Isolate length variable

Given $2l + 2w=16$, first factor out 2: $2(l + w)=16$. Then divide both sides by 2 to get $l + w = 8$, so $l=8 - w$.

Step2: Analyze width - length relationship

Since the width $w>0$, then $l = 8 - w<8$.

Answer:

A. 7 in.