Answer
The width of the rectangle is 6 meters.
The length of the rectangle is 17 meters.
Work Step by Step
We can let w represent the width.
The length is 5 meters longer than twice the width.
Twice the width means 2 $\times$ w = 2w
5 meters longer than twice the width means 5 + 2w.
So, the length is 5 + 2w.
The formula for the perimeter of the rectangle is width + width + length + length
The perimeter of the rectangle is 46, so we set up the following equation:
w + w + 5 + 2w + 5 + 2w = 46
6w + 10 = 46
6w = 36
Divide both sides by 6
w = 6
The width of the rectangle is 6 meters.
The length of the rectangle is 5 + 2 $\times$ 6 = 17 meters.
