Answer: 21.6 m
Step-by-step explanation:
Given
A football field measures [tex]100\ m\times 72\ m[/tex]
If a football field similar in shape to a full size has a length [tex]l=30\ m[/tex]
The ratio of the length of the original to the small field is the same
Assume the width of the small field is w
[tex]\therefore \dfrac{100}{30}=\dfrac{72}{w}\\\\\Rightarrow w=30\times \dfrac{72}{100}\\\\\Rightarrow w=21.6\ m[/tex]
Thus, the width of the field is 21.6 m