The length of a rectangle is 5 centimeters less than twice it’s width. The perimeter of the rectangle is 80 cm. What are the dimensions of t

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The length of a rectangle is 5 centimeters less than twice it’s width. The perimeter of the rectangle is 80 cm. What are the dimensions of the rectangle?

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    2021-10-14T00:29:21+00:00

    The length is equal to 25.

    The width is equal to 15.

    l = 2w – 5

    2l + 2w = 80

    We have a value for l, so we can plug it into the second equation to solve for w.

    2(2w – 5) + 2w = 80

    Distributive property.

    4w – 10 + 2w = 80

    Combine like terms.

    6w – 10 = 80

    Add 10 to both sides.

    6w = 90

    Divide both sides by 6.

    w = 15

    Now that we have a value for w, we can plug it into the original equation to solve for l.

    l = 2(15) – 5

    l = 30 – 5

    l = 25

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