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?

Question

Mathematics

Ben Nunez

1 August, 07:15

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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Answers (1)

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Mendez · Answer 1

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.