Areas of rhombuses and parallelograms:

We know:
The area of a rectangle
= length × width

But what about the area of a parallelogram?

A parallelogram can be thought of as a rectangle and two right-angled triangles.

The two right-angled triangles join together to to make a rectangle. This suggests that a parallelogram is just like a rectangle. If we take the gap between the longest sides as the width, and the longest side is the length, then:

The area of a parallelogram
= length × width

A rhombus, as we know, has equal sides, and can be chopped up in a similar way, but this time we end up with a square!! So we can say:

The area of a rhombus
= length × width


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