Janice wants to buy carpet for a trapezoid shaped room. the bases of the trapezoid are 12 feet and 14 feet, and the height is 15 feet. if the carpet she like is $5.50 per square foot, how much will new carpet for the room cost?

For this case, the first thing to do is find the area of the trapezoid.
 We have then:
 
 Where,
 b1: b2: Trapezoid bases
 h: height of the trapezoid
 Substituting values we have:
 
 Then, the cost per square foot is given by:
 
 
 The new carpet for the room will cost:
 C = 1072.5 $