It’s the end of the month and it’s time for us to review what we have learned this month. First, we have discussed about arithmetic and geometric sequences and their sums. We have also talked about the areas of parallelograms and trapezoids. Finally, we have a guest post from Patrick Vennebush, the author of Math […]

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# Monthly Archives: February 2013

## 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 and and altitude . To form a parallelogram using a trapezoid, make a […]

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## Derivation of the Area of a Trapezoid

A trapezoid (or trapezoid) is a quadrilateral with exactly one pair* of parallel sides. In the figure below, ABCD is a trapezoid and AB is parallel to CD. In this post, we derive the area of a trapezoid. We use the fact that a trapezoid can be partitioned into two triangles and one rectangle. The area […]

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