Making Connection Between Areas of Trapezoids and Parallelograms

Our last two discussions was about deriving the areas of trapezoids and parallelograms. In this post, we relate the two areas. We derive the area of a trapezoid using the area of a parallelogram. In the following derivation, we use the trapezoid with bases $latex b_1$ and $latex b_2$ and altitude $latex h$.

area of trapezoid

To form a parallelogram using a trapezoid, make a copy of a trapezoid and then rotate it 180 degrees and make the corresponding sides coincide as shown below. Continue reading