A tabletop in the shape of a trapezoid has an area of 5029 square cenimeters. Its longer base measures 123 cenimeters, and the shorter base is 65 cenimeters. What is the height?​

Length of height = 53.5 cm

Step-by-step explanation:

Given:

Area of trapezoid = 5,029 cm²

Length of longer base = 123 cm

Length of shorter base = 65 cm

Find:

Length of height

Computation:

Area of trapezoid = [(a+b)/2]h

5,029 = [(123 + 65)/2]h

5,029 = [(188)/2]h

5,029 = [94]h

Length of height = 53.5 cm

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x