A rectangular garden laid out along your neighbour's lot contains 432m^2. It is to be fenced on all sides. If the neighbour pays for half the shared fence, what should be the dimensions of the garden so that your cost is a minimum?
1 Answer
Explanation:
Let
The amount of fence that I must pay for is
The area is to be
The fence I must pay for totals (in meters):
To minimize my cost, I will minimize the amount of fence I must pay for. So I want to find
Clearly
By either the first or second derivative test