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27 May, 11:41

Louis plans to make a scale drawing of his room using a scale of 1:15. He has taken all the actual measurements of his room. How can he find the corresponding lengths to use in the scale drawing?

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  1. 27 May, 13:40
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    the corresponding length can be derived from the actual length by dividing the actual length by 15.

    Corresponding length = actual length : 15

    x1 = 1/15 * x = x/15

    y1 = 1/15 * y = y/15

    z1 = 1/15 * z = z/15

    Step-by-step explanation:

    Let x, y, z represent the actual dimensions of his room.

    And x1, y1, z1 represent the corresponding dimensions of his room used in the scale drawing.

    Given;

    Scale = 1:15

    In a scale drawing, the corresponding dimensions uses for the drawing can be derived by multiplying the actual dimensions by the ratio.

    Ratio = 1/15

    Corresponding dimension = 1/15 * actual dimensions

    x1 = 1/15 * x = x/15

    y1 = 1/15 * y = y/15

    z1 = 1/15 * z = z/15

    Therefore the corresponding length can be derived from the actual length by dividing the actual length by 15.

    Corresponding length = actual length : 15
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