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Michelle is building a rectangular landing strip for airplanes .She has material to cover 1/1,500 of a square mile. The landing strip must be 1/6 of a mile long. With the amount of material that has , what is the greatest possible width the land strip, in miles?

Respuesta :

I think that the missing word here is:
"with the amount of the material that Michelle has"

Let's say that her landing strip is x miles long, then its area would be:


[tex] \frac{1}{6} *x[/tex]

We also know how big it is:

[tex] \frac{1}{6} *x= \frac{1}{1 500}[/tex]

now, let's multiply both sides by 6:
[tex] \frac{6}{6} *x= \frac{6}{1 500}[/tex]
[tex]1 *x= \frac{3}{750}[/tex]
[tex]x= \frac{1}{250}[/tex]


So the answer is that it would be [tex]x= \frac{1}{250}[/tex] miles wide






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