Answer:
width = 23 inches
length = 57 inches
Step-by-step explanation:
Let x inches be the width of the rectangular solar panel.
So,
width = x inches
3 times the width = 3x inches
12 inches shorter than 3 times the width = 3x - 12 inches
length = 3x - 12 inches
The perimeter of the rectangle is
[tex]P=2(\text{Width}+\text{Length})[/tex]
Hence,
[tex]160=2(x+3x-12)\\ \\160=2(4x-12)\\ \\80=4x-12\ [\text{Divided by 2}]\\ \\4x=80+12\\ \\4x=92\\ \\x=23\ inches\\ \\3x-12=3\cdot 23-12=69-12=57\ inches[/tex]
