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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?

Respuesta :

For this case, the first thing to do is find the area of the trapezoid.
 We have then:
 [tex]A = (1/2) * (b1 + b2) * (h) [/tex]
 Where,
 b1: b2: Trapezoid bases
 h: height of the trapezoid
 Substituting values we have:
 [tex]A = (1/2) * (12 + 14) * (15) A = 195 ft ^ 2[/tex]
 Then, the cost per square foot is given by:
 [tex]C = 5.50A C = 5.50 * 195 C = 1072.5[/tex]
 Answer:
 
The new carpet for the room will cost:
 
C = 1072.5 $
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