A room in the shape of a triangle has sides of length 7 yd 8

A room in the shape of a triangle has sides of length 7 yd, 8 yd, and 12 yd. If carpeting costs $16.50 a square yard and padding costs $5.25 a square yard, how much to the nearest dollar will it cost to carpet the room, assuming that there is no waste a. $585 b. $565 c. $572 d. $444

Solution

s=(a+b+c)/2;

s=27/2=13.5yd

Area=root(s*(s-a)*(s-b)*(s-c))

Area=26.9 yard^2

Cost per square yard=21.75 dollars

Total cost=21.75*26.9=585 dollars