Find the Area of Triangle ABC with the Given Parts $17.8$

Find the area of triangle ABC with the given parts. Round to the nearest tenth when necessary.
-A room in the shape of a triangle has sides of length $17.8$ yards, $14.1$ yards, and $13.4$ yards. If carpeting costs $\$ 20.83$ per square yard, padding costs $\$ 1.60$ per square yard, and there is no charge for installation, how much, to the nearest dollar, will it cost to carpet the room?

A) $\$ 93$
B) $\$ 3363$
C) $\$ 439$
D) $\$ 2091$