Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in, high. Her paper is 12 in, wide and 24 in. tall. She decides

Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in, high. Her paper is 12 in, wide and 24 in. tall. She decides to use the scale 1 in. = 4 in. Is this a reasonable scale?

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  1. Step-by-step explanation:

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    [tex]Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in, high. Her paper is 12 i[/tex]

  2. Given:
    Painting's actual size: 48 in wide and 120 in high
    Paper's actual size: 12 in wide and 24 in tall

    Scale: 1 inch = 4 inches

    48 in ÷ 4 in = 12 inches
    120 in ÷ 4 in = 30 inches

    The scale is not reasonable because the paper size is not sufficient for the painting.

    Using the scale of 1 inch = 4 inches, the paper size needs to be 12 inches wide and 30 inches tall. The actual paper is only 24 inches tall. 

  3. The scale is not reasonable .

    Step-by-step explanation:

    We are given that Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in. high.

    Her paper is 12 in. wide and 24 in. tall.

    Scale :  1 in. = 4 in.

    Since 1 inch = 4 inch

    So, 12 inch = [tex]12\times 4 = 48 inches[/tex]

    24 inch = [tex]24\times 4 =96 inches[/tex]

    The given scale is not reasonable because the scale is true for the width but false for the height

    Since the actual height is 120 inches and we are getting 96 inches using the given scale .

    Hence the scale is not reasonable .

  4. Step-by-step explanation:

    1:4=.25 or 25%

    so 12/47=.25 or 25%

    24/120=.2 or 20%

    that ratio does not match the height ratio

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