What are the dimensions of a soccer field if the perimeter is 300 years and the length is 50 yards longer than the width?
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
We are told that
which can be simplified:
Therefore the width is 50 (yards) and the length is 100 (yards).