1 / 17

Area Of A Trapezoid

b2. h. b1. 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. b2. h. 1/2h. b1. b1. Area Of A Trapezoid. Start with a trapezoid.

tahirah
Download Presentation

Area Of A Trapezoid

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. b2 h b1 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

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

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

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

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

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

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

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

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

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

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

  12. b2 1/2h 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. h b Home Area Of A Trapezoid Rectangle: So the area is now the area of the rectangle. Find the width. Giving the formula…?

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

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

More Related