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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.