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

A

Explanation:

Answer 2

A. 7 in.

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}=(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.