Question

Two 2 1/2 inch plastic strips and two 5 1/3 inch plastic strips are used to form a rectangle. What is the perimeter of the rectangle?

Answer 1

The perimeter of the rectangle is
`15(2)/(3)`

Step-by-step explanation

To solve this, we are going to use the formula for the perimeter of a rectangle:

`P=2(w+l)`

where

`P` is the perimeter of the rectangle

`w` is the width of the rectangle

`l` is the length of the rectangle

We can infer from our problem the the shorter strips are
`2(1)/(2)` inches, so
`w=2(1)/(2)`. That leaves us with
`l=5(1)/(3)`. Let's replace those values in our formula to find
`P`:

`P=2(w+l)`

`P=2(2(1)/(2)+5(1)/(3))`

`P=2((5)/(2) +(16)/(3) )`

`P=2((47)/(6) )`

`P=(47)/(3)`

`P=15(2)/(3)`