Answer:
The width is 16 inches while the length is 24 inches.
Step-by-step explanation:
We are given that the length (L) is 8 more than it's width (W).
The equation for this is: L=8+W.
We are given the perimeter is 80.
The equation for this is 2L+2W=80.
Each term here is even so I'm going to divide both sides by 2: L+W=40.
My system to solve is:
L=8+W
L+W=40
I'm going to plug the first equation into the second giving me:
(8+W)+W=40
Drop the (), don't really need:
8+W+W=40
Combine like terms:
8+2W=40
Subtract 8 on both sides:
2W=32
Divide both sides by 2:
W=32/2
Simplify:
W=16
So if W=16 and L=8+W then L=8+16=24.
The width is 16 inches while the length is 24 inches.