Respuesta :
Answer: 240 m
Step-by-step explanation:
Given
Football field measures [tex]100\ m\times 72\ m[/tex]
Another similar field of length
[tex]L=30\ m[/tex]
and width, say W is marked
So, their area must be the same
[tex]\Rightarrow 100\times 72=30\times W\\\\\Rightarrow W=\dfrac{7200}{30}=2540\ m[/tex]
The width of the football field is 41.7m
The football measures 100m by 72 m. The school football field is similar.
Similar rectangles
For similar rectangles, the corresponding sides have common ratios. Therefore, let's establish the proportion as follows:
- 100 / w = 72 / 30
cross multiply
3000 = 72w
divide both sides by 72
w = 3000 / 72
w = 41.6666666667
w = 41.7 m
learn more on proportion here: https://brainly.com/question/582443
