Answer:
p = 2
q = 6
r = 16
x = 5 feet
Step-by-step explanation:
The perimeter of the rectangle is
[tex]P=2(\text{Width}+\text{Length})[/tex]
In your case,
Width = 3 feet
Length = x feet
So, the perimeter is
[tex]P=2(3+x)\\ \\P=6+2x[/tex]
Since the perimeter is 16 feet, we have
[tex]2x+6=16[/tex]
Hence,
p = 2
q = 6
r = 16
Solve this equation for x:
[tex]2x+6-6=16-6\\ \\2x=10\\ \\x=\dfrac{10}{2}=5\ feet[/tex]
