Question

a tabletop in the shape of a trapezoid has area an of 6,550 square centimeters. Its longer base measures 115 centimeters, and the shorter base is 85 centimeters. what is the height?

Answer 1

To find the missing dimension of the tabletop, the height, you will use the formula for finding the area of a trapezoid and solve for the missing height.

A = 1/2 h (b1 + b2)
 6550 = 1/2 h (115 + 85)
6550 = 1/2 h (200)
6550 = 100h
100      100

655 = h

The height is 655 cm.

Answer 2

65.5 cm.
The formula for the area of a trapezoid is
$A= \frac{b_{1}+b_{2} }{2} h$
Substitute the area fo A and the two bases for b1 and b2 to solve for h.
$6550= \frac{85+115}{2} h$
Simplify 
$6550= 100 h$
divide both side by 100 to get the height
65.5=h