1. Area Of A Trapezoid There are six different ways to calculate the area of a trapezoid Half parallelogram Rectangle/triangle Parallelogram & Triangle Parallelogram Rectangle Two Triangles b2 b1 h

2. b2 b1 h 1/2h b2 b1 Area Of A Trapezoid Draw the segment connecting the midpoints of the legs. Start with a trapezoid

3. Area Of A Trapezoid Rotate the top section of the trapezoid and then move it to line up with the bottom half.

4. The area now is the area of a parallelogram b1b2 1/2h In this case the base of the parallelogram is b1+b2 and the height is only half of the original height. Area Of A Trapezoid Home

5. h b1 b2 b1 h Area Of A Trapezoid Split the trapezoid into a rectangle and two triangles

6. Area Of A Trapezoid b2 h b1-b2 h So the area of the trapezoid is now the area of the two triangles put together plus the area of the rectangle Home Giving the formula…?

7. h b1 b2 b1 b2 h Area Of A Trapezoid Split the trapezoid into a parallelogram and a triangle

8. b1-b2b2 h Area Of A Trapezoid b2 h The area of the trapezoid is now the area of the parallelogram plus the area of the triangle. Home Giving the formula…?

9. Area Of A Trapezoid h b1 b2 Take the trapezoid and copy it.

10. h b1 b2 Area Of A Trapezoid Rotate the image and then move it to line up with the other trapezoid

11. Area Of A Trapezoid h b1 b2 So the area of this trapezoid is ½ of the parallelogram. b2 b1 parallelogram: Home Giving the formula…?

12. 1/2h b2 b1 Area Of A Trapezoid Find the midpoint of each leg. From each midpoint, drop a perpendicular to the longer base, forming right triangles.

13. b2 b1 Area Of A Trapezoid Rotate the right triangles to form a rectangle.

14. Area Of A Trapezoid So the area is now the area of the rectangle. Find the width. Rectangle: Home b h Giving the formula…?

15. h b1 b2 h b1 b2 Area Of A Trapezoid Draw in a diagonal forming two triangles.

16. Area Of A Trapezoid h b1 b2 h The Area is the sum of the two triangles Triangle 1: Triangle 2: Home Giving the formula…?

17. Area Of A Trapezoid The area of a trapezoid can be calculated many ways, but in the end they all come up with the same formula can you guess what formula it is?