# What are the dimensions of a soccer field if the perimeter is 300 years and the length is 50 yards longer than the width?

##### 1 Answer

Feb 9, 2015

width = 50 and length = 100

For simplicity, we will use the letters W for width, L for length and P for perimeter.

For a rectangular field

So we have

or

We are told that

So

which can be simplified:

And since

Therefore the width is 50 (yards) and the length is 100 (yards).