# Area of a Trapezoid

- Author:
- Sarah Hua

## Move the points around however you like, but keep the shape as a rectangle.

Calculate the area of the rectangle you have created above.

What method did you use to calculate for the area of a rectangle?

## ABC is a right triangle.

Calculate the area of the right triangle above.

What do you notice about the area of a rectangle and the area of a triangle?

Based on your observations, what are two ways to write the relationship between the area of a rectangle and the area of a right triangle?

## Use segments to decompose the figures into rectangles and right triangles to determine their area.

What is the area of Figure A?

What is the area of Figure B?

Note: The area for any parallelogram is and the area for all triangles is .

## A trapezoid has bases of lengths a and b, with a distance, h, between them.

Use segments to break up the figure above to calculate the area of the trapezoid. What is the formula for area of a trapezoid? Explain your approach.

## Challenge: Use the space below to show another approach to finding the area of the trapezoid.

Explain your approach.