SOLUTION: A tabletop in the shape of a trapezoid has an area of 5,715 square centimeters. Its longer base measures 115 centimeters, and the shorter base is 65 centimeters. What is the height

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A tabletop in the shape of a trapezoid has an area of 5,715 square centimeters. Its longer base measures 115 centimeters, and the shorter base is 65 centimeters. What is the height      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1116342: A tabletop in the shape of a trapezoid has an area of 5,715 square centimeters. Its longer base measures 115 centimeters, and the shorter base is 65 centimeters. What is the height?

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
Area of a trapezoid (of any trapezoid) is equal to half the product of the sum of the bases times height:


A = %28%28a%2Bb%29%2F2%29%2Ah


5715 = %28%28115%2B65%29%2F2%29%2Ah = 90h.


=============================>  h = 5715%2F90 centimeters.

Solved.