Answered

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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

Sagot :

boffeemadrid

Answer:

45 cm

Step-by-step explanation:

l = Length of football field is 120 yards

w = Width of football field is 80 yards

The ratio of the sides is [tex]\dfrac{l}{w}=\dfrac{120}{80}=\dfrac{3}{2}[/tex]

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

[tex]\dfrac{l'}{w'}=\dfrac{l}{w}\\\Rightarrow l'=\dfrac{l}{w}\times w'\\\Rightarrow l'=\dfrac{3}{2}\times 30\\\Rightarrow l'=45\ \text{cm}[/tex]

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

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