Answer
The perimeter of the rectangle is [tex]15\frac{2}{3}[/tex]
Explanation
To solve this, we are going to use the formula for the perimeter of a rectangle:
[tex]P=2(w+l)[/tex]
where
[tex]P[/tex] is the perimeter of the rectangle
[tex]w[/tex] is the width of the rectangle
[tex]l[/tex] is the length of the rectangle
We can infer from our problem the the shorter strips are [tex]2\frac{1}{2}[/tex] inches, so [tex]w=2\frac{1}{2}[/tex]. That leaves us with [tex]l=5\frac{1}{3}[/tex]. Let's replace those values in our formula to find [tex]P[/tex]:
[tex]P=2(w+l)[/tex]
[tex]P=2(2\frac{1}{2}+5\frac{1}{3})[/tex]
[tex]P=2(\frac{5}{2} +\frac{16}{3} )[/tex]
[tex]P=2(\frac{47}{6} )[/tex]
[tex]P=\frac{47}{3} [/tex]
[tex]P=15\frac{2}{3}[/tex]
