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13 January, 06:47

Karl makes a scale drawing for a crate with a scale factor of 1:12. The dimensions

his scale drawing are 10 inches long by 8 inches wide. The builder creates a scale

drawing of the crate with a scale factor of 1:3.

What are the dimensions of the builder's scale drawing?

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  1. 13 January, 08:24
    0
    The dimensions of the builders scale drawing is 40 x 32 inches

    Step-by-step explanation:

    Let the area of the actual crate be 'a'

    Scale factor of Karl = 1:12

    Dimensions = 10 x 8 inches

    Area = 80 square inches

    1:12 = 1/12

    1/12 = 80/a

    a = 80 x 12

    a = 960 square inches

    So dimensions are 120 x 96 inches

    Builders scale factor = 1:3

    Actual Length = 120inches

    Actual width = 96 inches

    Builders drawing length = 120/3

    = 40 inches

    Builders drawing width = 96/3

    = 32 inches

    The dimensions of the builders scale drawing is 40 x 32 inches.
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