Answer
The width of the rectangle is 15 cm.
The length of the rectangle is 40cm.
Work Step by Step
We can let w represent the width.
The length of the rectangle was 10 centimeters longer than twice the width.
Twice the width means 2w.
10 centimeters longer than twice the width means 2w + 10.
So, the length is 2w + 10.
The formula for the perimeter of the rectangle is width + width + length + length
The perimeter of the rectangle is 110 cm, so we set up the following equation:
w + w + 2w + 10 + 2w + 10 = 110
6w + 20 = 110
6w = 90
Divide both sides by 6.
w = 15
The width of the rectangle is 15 cm.
The length is 2 $\times$ 15 + 10 = 40 cm.
