How does inscribing a triangle in a rectangle find area?

A rectangle is quadrilateral with congruent and parallel opposite sides.

Mathematically, the area of a rectangle is

Where is the base and is the height.

Now, the area of a triangle is defined as

Where is the base and is the height.

As you can notice, the are of a triangle is half of the area of a rectangle.

So, if we inscribe a triangle in a rectangle, we can find the area by doubling the triangle area.

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