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

65.5 cm.
The formula for the area of a trapezoid is

`A= (b_(1)+b_(2) )/(2) h`
Substitute the area fo A and the two bases for b1 and b2 to solve for h.

`6550= (85+115)/(2) h`
Simplify

`6550= 100 h`
divide both side by 100 to get the height
65.5=h

Answer 2

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.