Mathematics

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?

1 Answer

  • 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]

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