Solve the Problem $8 \mathrm { yd } , 10 \mathrm { yd }$

Multiple Choice

Solve the problem.
-A room in the shape of a triangle has sides of length $8 \mathrm { yd } , 10 \mathrm { yd }$ , and $14 \mathrm { yd }$ . If carpeting costs $\$ 12.50$ a square yard and padding costs $\$ 4.25$ a square yard, how much to the nearest dollar will it cost to carpet the room, assuming that there is no waste?

A) $\$ 627$
B) $\$ 656$
C) $\$ 637$
D) $\$ 490$