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?\n7 in.\n8 in.\n9 in.\n10 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?\n7 in.\n8 in.\n9 in.\n10 in.

Answer

Answer:

A. 7 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 $w=8 - l$.

Step2: Consider the non - negativity of width

Since $w>0$, then $8 - l>0$, which gives $l < 8$. Among the options 7 in. is less than 8 in., while 8 in., 9 in., and 10 in. are not. So the possible value for the length is 7 in.