Question

A field in th shape of a trapezoid has an area of 13,687.5 square yards. The length of one base is 150 yards, and the length of the base is 215 yards. What is the height of the trapezoid?

Answer 1

By definition, the area of a trapezoid is given by:

`A = ((B1 + B2)h)/(2)`
B1, B2: These are the bases of the trapeze
h: is the height of the trapeze.
Clearing the height we have:

`h = (2A)/(B1 + B2)`
Then, replacing values we have:

`h = (2(13687.5))/(150 + 215)`

`h = 75`
Answer:
the height of the trapezoid is:
h = 75 yards