Solve the Problem $\$ 12$ Per Foot for the Side Parallel to the House And Side

Solve the problem.
-A rectangular garden is bounded on one side by a house and is to be fenced on the other three sides. Fencing material costs $\$ 12$ per foot for the side parallel to the house and $\$ 25$ per foot for the other two sides. What are the dimensions of the garden of largest possible area if $\$ 1800$ is to be spent for fencing material?

A) $77 \mathrm{ft}$ by $17 \mathrm{ft}$ with the long side parallel to the house
B) $71 \mathrm{ft}$ by $20 \mathrm{ft}$ with the long side parallel to the house
C) $75 \mathrm{ft}$ by $18 \mathrm{ft}$ with the long side parallel to the house
D) $79 \mathrm{ft}$ by $16 \mathrm{ft}$ with the long side parallel to the house