The area of the trapezoid is 40 square units.
What is the height of the trapezoid? __ Units
![The area of the trapezoid is 40 square units What is the height of the trapezoid Units class=](https://us-static.z-dn.net/files/d3e/18d33ca15bd8dea3576e6f16c7d87580.png)
we know that
The area of a trapezoid is equal to
[tex]A=\frac{1}{2}(b1+b2)h[/tex]
where
b1 and b2 are the parallel bases of the trapezoid
h is the height of the trapezoid
In this problem we have
[tex]b1=6\ units\\b2=10\ units\\A=40\ units^{2}[/tex]
substitute in the formula
[tex]40=\frac{1}{2}(6+10)h[/tex]
Solve for h
[tex]40*2=16h[/tex]
[tex]h=80/16=5\ units[/tex]
therefore
the answer is
The height of the trapezoid is [tex]5\ units[/tex]