# Is this the simplest way to visually prove the “scalene trapezoid area formula”

Please refer to image. Is there a simpler way to visually prove the scalene trapezoid area formula?

• The way I was taught at school was by prolonging each base by a segment of the same length as the other one (in the same half plane with respect to some side), and then remark that the resulting figure was a parallelogram with base $(a+b)$, height $h$ and double the area. – Saucy O'Path Jan 20 at 17:47
• Thanks Saucy. Looks like Hagen von Eitzen has visualised this for us. – Dave Kirkby Jan 21 at 16:59

In case you forgot that this parallelogram has area $$(a+b)h$$, note that the triangles in the following image are congruent, hence the area of the parallelogram equals that of the rectangle.