Question

how does inscribing a triangle in a rectangle find area?

Answer 1

Answer:

A rectangle is quadrilateral with congruent and parallel opposite sides.

Mathematically, the area of a rectangle is

$A_{rectangle}=b\times h$

Where $b$ is the base and $h$ is the height.

Now, the area of a triangle is defined as

$A_{triangle} =\frac{b \times h}{2}$

Where $b$ is the base and $h$ 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.