Answer:
P = 12x - 18, x = 7 feet
Step-by-step explanation:
We know that the formula for the perimeter of a rectangle is:
[tex]P=2l+2w[/tex]
Where l is the length and w is the width. So we just substitute in for variables:
P = 2 (5x - 7) + 2 (x - 2)
We distribute by foiling:
P = 10x - 14 + 2x - 4
Then combine like terms:
P = 12x - 18
This can be further factored to 6(2x - 3) if needed.
Since we know the expression for perimeter, we can just set it equal to 66 feet, like this:
6(2x - 3) = 66
Divide both sides by 6:
2x - 3 = 11
Add 3 to both sides:
2x = 14
Divide both sides by 2:
x = 7 feet
