Question

A rectangular solar panel has a length that is 12 inches shorter than 3 times its width. If the perimeter of the panel is 160 ​inches, what are the dimensions of the​ panel?

Answer 1

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

$P=2(\text{Width}+\text{Length})$

Hence,

$160=2(x+3x-12)\\ \\160=2(4x-12)\\ \\80=4x-12\ [\text{Divided by 2}]\\ \\4x=80+12\\ \\4x=92\\ \\x=23\ inches\\ \\3x-12=3\cdot 23-12=69-12=57\ inches$