How do you find the height of a trapezoid

To solve this question, you must divide the trapezoid into a rectangle and two right triangles. Using the Pythagorean Theorem, you would calculate the height of the triangle which is 4. The dimensions of the rectangle are 5 and 4, hence the area will be 20.

You can find the height of a trapezoid by dropping the altitude and using the side of the triangle that you have to find the height using the 45-45-90 triangle method or 30-60-90 triangle method, which will give you the other two sides, including the height

Hopefully that makes sense