Parallelograms - area

The area of a parallelogram is the \(base \times perpendicular~height~(b \times h)\).

Area of a parallelogram diagram

You can see that this is true by rearranging the parallelogram to make a rectangle.

Area of a parallelogram diagram

Rearranging a parallelogram

Regular parallelogram showing base and height.

curriculum-key-fact
Use the perpendicular height of the parallelogram, not the sloping height.
Question

Find the area of this parallelogram:

Area of a parallelogram diagram

The area is \({7~cm}\times{3~cm}={21~cm}^{2}\).

Remember to use the perpendicular height of the parallelogram.