The area of a trapezoid is 100 square feet. the sum of the two bases is 25 feet. what is the height of the trapezoid?

i kept getting 4 but that isn't correct

Well I don't know !
Let's slow down, relax, and work it out together.

The formula for the area of a trapezoid is

                          Area  =  (1/2) · (height) · (the sum of the bases)

Fill in
the numbers
that we know:    100 sq ft  =  (1/2) · (height) · (25 ft)

Divide each side
by  (25 ft) :            (100 sq ft) / (25 ft)  =  (1/2) · (height)

                                         4 ft            =  (1/2) · (height)

Multiply each side by  2 :      8 ft          =            height

So what was the major difficulty ?
Did you forget the  (1/2)  in the formula ?