slide1 n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Area Of A Trapezoid PowerPoint Presentation
Download Presentation
Area Of A Trapezoid

Loading in 2 Seconds...

play fullscreen
1 / 17

Area Of A Trapezoid - PowerPoint PPT Presentation


  • 529 Views
  • Uploaded on

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.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Area Of A Trapezoid' - tahirah


Download Now 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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide1

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
slide2

b2

b2

h

1/2h

b1

b1

Area Of A Trapezoid

Start with a trapezoid

Draw the segment connecting the midpoints of the legs.

slide3

Area Of A Trapezoid

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

slide4

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.

slide5

b2

h

b2

b1

h

b1

Area Of A Trapezoid

Split the trapezoid into a rectangle and two triangles

slide6

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…?

slide7

b2

b2

h

h

b1

b1

Area Of A Trapezoid

Split the trapezoid into a parallelogram and a triangle

slide8

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…?

slide9

b2

h

b1

Area Of A Trapezoid

Take the trapezoid and copy it.

slide10

b2

h

b1

Area Of A Trapezoid

Rotate the image and then move it to line up with the other trapezoid

slide11

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…?

slide12

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.

slide13

b2

b1

Area Of A Trapezoid

Rotate the right triangles to form a rectangle.

slide14

h

b

Home

Area Of A Trapezoid

Rectangle:

So the area is now the area of the rectangle. Find the width.

Giving the formula…?

slide15

b2

b2

h

h

b1

b1

Area Of A Trapezoid

Draw in a diagonal forming two triangles.

slide16

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…?

slide17

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?