WME@Kimpton Middle

## Area of a Parallelogram

You already know how to find the area of a rectangle. Now we will consider the area of a parallelogram.

Recall that a parallelogram is a quadrilateral (figure with four straight sides) whose opposite sides are all parallel. The diagram on the right shows the base and height of a parallelogram. The height is the length of a perpenticular line from the base to the opposite side (the distance between these two sides).

A rectangle is actually a special kind of parallelogram.

To find the area of a parallelogram, you observe that there is a rectangle that has the same area. Find the area of that rectangle and you are done.

• A parallelogram is shown in the following diagram. You can drag the points to change the parallelogram.

• In the above diagram:

1. Click the button "Draw Height from E".
2. Click the button "Cut the parallelogram" to split the parallelogram into two parts.
3. Drag the parts to form a rectangle. Click button "Merge into a Rectangle" to form a rectangle. Click button "reset" to get the parallelogram back.