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18 June, 06:24

What are the dimensions of a rectangle with a perimeter of 70 and a length to width ratio of 4 to 5?

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  1. 18 June, 08:44
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    Hello:

    let : x the length and y the width

    the perimeter is : 2 (x+y)

    2 (x+y) = 70 and : x/y = 4/5

    x+y = 35 ... (1)

    x = (4/5) y ... (2)

    subsct in : (1)

    (4/5) y + y = 35

    4y+5y = 175

    9y = 175

    y = 175/9

    in (2) : x = (4/5) (175/9) = 140/9
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