At an IMAX theater, the giant rectangular movie screen has a width 26 feet less than its length. If its perimeter is 332 feet, find the leng

Question

At an IMAX theater, the giant rectangular movie screen has a width 26 feet less than its length. If its perimeter is 332 feet, find the length and the width of the screen.

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Remi 1 month 2021-10-20T07:05:11+00:00 1 Answer 0 views 0

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    2021-10-20T07:06:14+00:00

    Answer:

    Length=96 feet

    Width=70 feet

    Step-by-step explanation:

    Let the length = l

    The width 26 feet less than its length=l-26

    Perimeter of the giant rectangular movie screen= 332 feet

    Perimeter of a rectangle = 2(L+W)

    332=2(l+l-26)

    332=2(2l-26)

    Expanding the brackets

    332=4l-52

    4l=332+52

    4l=384

    l=384/4=96

    The Length of the giant rectangular movie screen is 96 feet.

    The Width, W=l-26=96-26=70 feet

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