Question

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , 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 1

Answer:

A. 7 in.

Step-by-step explanation:

We have been given that the perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle.

We know that perimeter of rectangle is 2 times the sum of width and length of rectangle.

$\text{Perimeter}=2(l+w)$

$\text{16 in}=2(l+w)$

$\frac{\text{16 in}}{2}=\frac{2(l+w)}{2}$

$\text{8 in}=l+w$

To be a rectangle length cannot be 8 as length and width of the rectangle is 8 inches.

Therefore, 7 inches the possible value for the length of the rectangle.