Question $13[4$ points$]$

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

N

S

Given a budget of $\backslash (\backslash$$ $950\backslash ),$ find the dimensions that give the maximum area inside the fencing.

Length of east and west fences:

Length of north and south fences:

Worksheet

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