Question

The perimeter of a rectangle is 14 inches. The equation that represents the perimeter of the rectangle is 2l+2w=14, 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?

6 inches

7 inches

8 inches

9 inches

Answer 1

6 inches

Explanation:

6 inches is the only feasible answer because if the length is 6 inches, you have 6 + 6 which equals 12. This leaves 2 more units for the perimeter so the width would be 1 unit. The other choices could not exist, because 7 x 2 is 14 (no units left for width, and the width of a rectangle cannot be 0), 8 x 2 is 16, and 9 x 2 is 18.