Question

Find the height of a trapezoid if b1= 2x + 1 and b2 = x+4 and the area = 3x2 + 5x Show all your work for full credit.

Answer 1

A = 1/2 h (b1+b2)
so
h = 2A / (b1+b2)
h = [2(3x^2 + 5x)] / (2x + 1 + x + 4)
h = (6x^2 + 10x)/(3x +5)
h = 2x(3x + 5)/(3x +5)
h = 2x

answer: height of a trapezoid = 2x