By definition, the area of a trapezoid is given by:
[tex]A = \frac{(B1 + B2)h}{2} [/tex]
B1, B2: These are the bases of the trapeze
h: is the height of the trapeze.
Clearing the height we have:
[tex]h = \frac{2A}{B1 + B2} [/tex]
Then, replacing values we have:
[tex]h = \frac{2(13687.5)}{150 + 215} [/tex]
[tex]h = 75
[/tex]
Answer:
the height of the trapezoid is:
h = 75 yards