Question

Look at the trapezoid ABCD shown below.
Using complete sentences, explain how the formula for the area of trapezoid ABCD is derived.

Answer 1

@Hero

Answer 2

this is interesting. And I guess the hint is that the area of the larger figure is the sum of the areas of the smaller figures. You always start with the general formula for area of a figure which is A = bh, then go from there. So those are the two things to get you started:

1. General Area of any figure = Base times Height
2. Area of Larger Figure = Sum of smaller Figures

Answer 3

can you explain the area of the larger figure?

Answer 4

The area of the larger figure represents the trapezoid. The area of the smaller figure represents the triangles and squares inside of it.

Answer 5

You start with the area of the smaller and come up with the area of the larger.

Answer 6

But also remembering that sides of the figures are shared so you have to take that into account

Answer 7

Oh, okay. Thank you! :)