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Lexi is making a scale drawing of a soccer field that is 120 yards long and 80 yards wide and the field is that see strong is 30 cm wide how long should the field be in drawing

1 Answer

13 votes

Answer:

45 cm

Explanation:

l = Length of football field is 120 yards

w = Width of football field is 80 yards

The ratio of the sides is
(l)/(w)=(120)/(80)=(3)/(2)

Now the width of the field is 30 cm = w'


(l')/(w')=(l)/(w)\\\Rightarrow l'=(l)/(w)* w'\\\Rightarrow l'=(3)/(2)* 30\\\Rightarrow l'=45\ \text{cm}

The length of the field in the drawing is 45 cm.

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