A farmer wants to construct a fence around a rectangular field. Sides with neighbours need reinforced fencing that costs$8per meter. The other sides use regular fencing that costs$2per meter. Assuming the farmer has neighbours on the west and south sides, answer the following questions. Give your answers as exact expressions or decimals accurate to at least two places.

1. Given a budget of$900, find the dimensions that give the maximum area inside the fencing.
2. what is the Length of east and west fences in (m)
3. what is the Length of north and south fences in (m)