# Area of a Trapezium

Discussion in 'Mathematics' started by Mr_Mathematics, Mar 1, 2020.

1. ### Mr_MathematicsOccasional commenter

Hello
I have written a new blog about how to find the area of a trapezium using rectangles and parallelograms so students do not need to remember the formula.

Thank you
Jonathan

2. ### gainlyStar commenter

But then there would be no need for the song.

Piranha likes this.
3. ### PiranhaStar commenter

Happy memories. I used to conduct but not sing, telling them I really wanted to be a music teacher but I couldn't because I couldn't sing. One girl retorted "but Mr xxx (Head of Music) can't sing and he is a music teacher. Struggled to keep a straight face.

4. ### catbefrienderLead commenter

An easier way is to divide the trapezium into 2 triangles, and get them to do the half the base x the height for both triangles and add them together.

With my lower ability students, they would really have a hard time conceptualising the movement of the triangle to the opposite side, but splitting it in two distinct triangles, and then using the height in the middle of the trapezium for for both the triangles' heights seems to be working.

Piranha likes this.
5. ### Mr_MathematicsOccasional commenter

Hello Catbefriender
Thanks for the comment. I really like the triangles approach. Will give it a go next time I teach trapeziums.
Thank you
Jonathan

catbefriender likes this.
6. ### Mr_MathematicsOccasional commenter

This is brilliant. Forget my idea - teach this.