Question

My rectangular soccer field site has a length equal to three times its width. find its area in terms of its length x.

Answer 1

A rectangle with dimensions:

length = a units, and width= b units, has area:
`Area=a \cdot b=ab` (units squared)

In the rectangular soccer field, the length is x units, which may be meters, feet etc.

and the length is 3 times the width, so the width is just one third of the length, that is width= x/3


`Area_(field)=width \cdot length= (x)/(3) \cdot x= ( x^(2) )/(3)` square units



Answer:
`( x^(2) )/(3)` square units