Answer:
20
Step-by-step explanation:
Hello There!
So first we need to determine what the formula for area of a trapezoid is
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
the given information is the area and the two bases
so we plug in the given information and solve for h
[tex]180=\frac{4+14}{2} h\\4+14=18\\\frac{18}{2} =9\\180=9h[/tex]
divide each side by 9
[tex]\frac{180}{9} =20\\\frac{9h}{9} =h[/tex]
we're left with
h=20
so we can conclude that the height is 20
