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27 November, 01:53

A rectangular poster is 3 times as long as it is wide. A rectangular banner is 5 times a long as it is wide. Both the banner and the poster have perimeters of 24 inches. What are the lengths and widths of the poster and banner?

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  1. 27 November, 03:20
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    The answer to your question is

    a) Poster width = 3 in

    lenght = 9 in

    b) banner

    width = 2 in

    lenght = 10 in

    Step-by-step explanation:

    a) For the poster

    width = x

    lenght = 3x

    Perimeter of a rectangle = 2base + 2 height

    = 2 (x) + 2 (3x) = 24

    2x + 6x = 24

    8x = 24

    x = 24/8

    x = 3

    width = 3 in

    lenght = 3 (3) = 9 in

    b) For the banner

    width = y

    lenght = 5y

    Perimeter of a banner = 2 base + 2 height

    2 (y) + 2 (5y) = 24

    2y + 10y = 24

    12y = 24

    y = 24/12

    y = 2

    width = 2 in

    lenght = 5 (2) = 10 in
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