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vredina [299]
3 years ago
11

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 3

0 centimeters wide, how long should the field be in the drawing?
Mathematics
1 answer:
timurjin [86]3 years ago
4 0

Answer:

  • <em><u>The field in Lexie's drawing should be 20 cm long.</u></em>

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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