Shape, space and measures

2. Space

2.2. Area of a parallelogram

If you were to remove the right angled triangle, starting from the base on one side of a parallelogram, you would find that it would fit exactly onto the other side of the parallelogram to form a rectangle.

A parallelogram with the right angled triangle on the left side cut and moved to the other side to form a rectangle

So the area of a parallelogram can be measured by multiplying its length by its perpendicular height, i.e. its height measured at a 90° (right) angle from the base.

A parallelogram marked with height of 2 cm and base of 5 cm.

This parallelogram measures 5 cm along the base and has a height of 2 cm, so the area is:

10 x 2 = 20 cm2