Question

A formula for the perimeter of a rectangle is P = 2(1 + w), where P is the perimeter, 1 is the length, and w is the width. If the perimeter of a rectangle is 32 centimeters and the width is 8 centimeters, what is the length?

a) 4 cm
b) 6 cm
c) 8 cm
d) 16 cm

Answer 1

The length of the rectangle is 16 centimeters.

Step-by-step explanation:

To find the length of the rectangle, we can rearrange the formula for the perimeter: P = 2(1 + w). Substitute the given values: 32 = 2(1 + 8).

Simplify the equation: 32 = 2(9).

Divide both sides by 2: 16 = 9.

So the length of the rectangle is 16 cm.