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8 January, 19:39

A billboard is 2.5 times as long as it is wide. The area of the billboard is 2,250 ft. A scale drawing is made of the billboard, and the area of the scale drawing is 160 in. What is the scale used in the scale drawing? (Explain)

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  1. 8 January, 20:16
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    Width = w

    Length = 2.5w

    Area of Rectangle: Width * Length

    w (2.5w) = 2250

    2.5w^2 = 2250

    w^2 = 2250/2.5 = 900

    w = Sq rt of 900 = 30

    l = 75

    Ratio of inches to ft

    x/30 = 160/2250

    cross multiply: 2250x = 160 * 30

    2250x = 4800

    x = 4800/2250 = 2.13333 ...

    length

    x/75=160/2250

    2250x = 75 (160)

    2250x = 12,000

    x = 12,000/2250

    x = 5.3333 ...

    scale is 2.13" * 5.33"
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