Solve the Problem $\$ 5$ Per Foot for Two Opposite Sides, And

Solve the problem.
-A rectangular field is to be enclosed on four sides with a fence. Fencing costs $\$ 5$ per foot for two opposite sides, and $\$ 8$ per foot for the other two sides. Find the dimensions of the field of area $830 \mathrm{ft}^{2}$ that would be the cheapest to enclose. Round to the nearest tenth.

A) $36.4 \mathrm{ft} @ \$ 5$ by $22.8 \mathrm{ft} @ \$ 8$
B) $22.8 \mathrm{ft} @ \$ 5$ by $36.4 \mathrm{ft} @ \$ 8$
C) $46.1 \mathrm{ft} @ \$ 5$ by $18 \mathrm{ft} @ \$ 8$
D) $18 \mathrm{ft} @ \$ 5$ by $46.1 \mathrm{ft} @ \$ 8$