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? 7 in. 8 in. 9 in. 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? 7 in. 8 in. 9 in. 10 in.

Answer

Explanation:

Step1: Solve the equation for (w)

Given (2l + 2w=16), divide both sides 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: (8>l) or (l < 8).

Answer:

7 in.