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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.

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Area Of A Trapezoid

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  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?

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