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13 April, 05:32

Lexie is making a scale drawing of a soccer field that is 120 yards long and 80 yards wide. If the field in Lexie's drawing is 30 centimeters wide, how long should the field be in the drawing?

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  1. 13 April, 05:38
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    The field in Lexie's drawing should be 20 cm long.

    Explanation:

    Making a scale drawing requires that the figure be similar, which implies that the sides of the figures be proportional.

    The proportion for a drawing 30 cm wide and unknown length with the soccer field that is 120 yards long and 80 yards wide is:

    length of the drawing / width of the drawing = length of the field / width of the field

    Thus, using x for the unknown width of the drawing:

    30 cm / x = 120 yard / 80 yard

    Thus, you must solve for x:

    30 cm * 80 yard = 120 yard * x

    x = 30 cm * 80 yard / 120 yard = 20 cm.

    Hence, the field in Lexie's drawing should be 20 cm long.
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