Area Of A Trapezoid There are six different

Area Of A Trapezoid Start with a trapezoid b 2 h 1/2 h b

Area Of A Trapezoid Rotate the top section of the trapezoid and then move

Area Of A Trapezoid The area now is the area of a parallelogram 1/2

Area Of A Trapezoid b 2 h h b 1 Split the trapezoid into

Area Of A Trapezoid b 2 h h b 1 -b 2 So the

Area Of A Trapezoid b 2 Split the trapezoid into a parallelogram and a

Area Of A Trapezoid b 2 h b 1 -b 2 The area of

Area Of A Trapezoid Take the trapezoid and copy it. b 2 h b

Area Of A Trapezoid b 2 h b 1 Rotate the image and then

Area Of A Trapezoid b 2 b 1 h b 1 parallelogram: b 2

Area Of A Trapezoid Find the midpoint of each leg. b 2 1/2 h

Area Of A Trapezoid Rotate the right triangles to form a rectangle. b 2

Area Of A Trapezoid h Rectangle: b So the area is now the area

Area Of A Trapezoid Draw in a diagonal forming two triangles. b 2 h

Area Of A Trapezoid b 2 h h Triangle 1: Triangle 2: b 1

Area Of A Trapezoid The area of a trapezoid can be calculated many ways,

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Area Of A Trapezoid There are six different ways to calculate the area of a trapezoid b 2 • Half parallelogram • Rectangle/triangle h • Parallelogram & Triangle • Parallelogram • Rectangle • Two Triangles b 1

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

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

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

Area Of A Trapezoid b 2 h h b 1 Split the trapezoid into a rectangle and two triangles

Area Of A Trapezoid b 2 h h b 1 -b 2 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…? Home

Area Of A Trapezoid b 2 Split the trapezoid into a parallelogram and a triangle hh b 1

Area Of A Trapezoid b 2 h b 1 -b 2 The area of the trapezoid is now the area of the parallelogram plus the area of the triangle. Giving the formula…? Home

Area Of A Trapezoid Take the trapezoid and copy it. b 2 h b 1

Area Of A Trapezoid b 2 h b 1 Rotate the image and then move it to line up with the other trapezoid

Area Of A Trapezoid b 2 b 1 h b 1 parallelogram: b 2 So the area of this trapezoid is ½ of the parallelogram. Giving the formula…? Home

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

Area Of A Trapezoid Rotate the right triangles to form a rectangle. b 2 b 1

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

Area Of A Trapezoid Draw in a diagonal forming two triangles. b 2 h b 1

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

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?