Answer:
L = 55 in, W = 20 in
Step-by-step explanation:
Hi there!
First we have to set up an equation for the length, which can be written as 3x - 5.
The formula for perimeter of a rectangle is 2l + 2w = p, so we can plug in some values here.
l = 3x - 5
w = x
[tex]2(3x-5) + 2(x) = 150[/tex]
Now we just have to solve!
[tex]6x - 10 + 2x = 150[/tex]
When we combine like terms and add ten to both sides, we are left with
[tex]8x = 160[/tex], which means x = 20
Using this, that means the width is 20
We can find the perimeter by plugging 20 in for x. [tex]l = 3(20) -5[/tex]
This means the length is 55.
