Mr. Reed is drawing a blueprint of a rectangular patio. The width of the patio is 40 3/4 feet shorter than twice its length. The perimeter o

Question

Mr. Reed is drawing a blueprint of a rectangular patio. The width of the patio is 40 3/4 feet shorter than twice its length. The perimeter of the patio 86 1/2 feet what is the length of the patio?

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Diễm Thu 6 days 2021-07-22T14:59:52+00:00 1 Answers 3 views 0

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    2021-07-22T15:01:37+00:00

    Answer:

    Length of rectangular patio = 28 feet

    Step-by-step explanation:

    Given that:

    Length of rectangular patio = x

    Width of rectangular patio = 2x-40\frac{3}{4}

    Perimeter of rectangular patio = 86\frac{1}{2}

    Perimeter of rectangular patio = 2 (length + width )

    Putting values in the formula

    86\frac{1}{2}=2(x+2x-40\frac{3}{4})\\\\\frac{173}{2}=2(3x-\frac{163}{4})\\\\\frac{173}{2}=2(\frac{12x-163}{4})\\\\\frac{173}{2}=\frac{12x-163}{2}\\\\173 = 12x-163\\12x = 173 + 163 \\12x = 336

    Dividing both sides by 12

    \frac{12x}{12}=\frac{336}{12}\\x=28

    Hence,

    Length of rectangular patio = 28 feet

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