**Problem: **Winter wheat, while finding the amount of seed needed to plant his three square wheat fields. Hank observed that the side of one field was 1 kilometer longer than the size of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three is 38 square kilometers, then what is the area of each field?

**Solution: **Let_{}be the sides of the fields. We know that

_{}

The total area is

_{}

This implies that

_{}

which has two solutions

_{}

but one of the solutions is negative, so we disregard it. Therefore,

_{}

_{}