How to understand area formulas for a parallelogram, triangle, and trapezoid

we are going to start with the most basic formula for the area of a rectangle
and derive the area formulas for a parallelogram, triangle, and trapezoid.
Are you ready? Let's begin!
Let us draw a rectangle, .
We know that the area of a rectangle = Length × Width
It is the starting point for us to understand area Formulas for parallelogram, triangle, and trapezoid.
Let us draw a parallelogram
Split a right-angled triangle from the parallelogram
Move the right-angled triangle to the other side
The parallelogram now turns to a rectangle
Therefore, the area of the parallelogram = base × height
Let us draw a triangle
Duplicate the triangle
Rotate one of the triangles and combine them to form a parallelogram
The area of a triangle is half the area of a parallelogram.
Draw the base and height
Therefore, the area of the original triangle = base × height ÷ 2
Let us draw a trapezoid
Duplicate the trapezoid
Rotate one of the trapezoids and combine them to form a parallelogram
Draw the base and height
The base of the parallelogram is now the sum of the top and bottom bases of the original trapezoid
The area of a trapezoid is half the area of this parallelogram.
Therefore, the area of the original trapezoid = (top base + bottom base) × height ÷ 2
Although these formulas may look different, they all originate from the area formula of a rectangle.
It is possible to find areas of other polygons by dividing the shape into other shapes such as triangles and quadrilaterals.
I hope today's video helps you better understand these area formulas! If you find it useful,
don't forget to give it a thumbs up and share it! See you next time!