1 / 10

Area of a... Trapezoid!

Area of a... Trapezoid!. What is it??. What is a trapezoid and what do we know about it? A quadrilateral with at least one pair of parallel sides Why are rectangles, squares and parallelograms, trapezoids?

vea
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. Area of a... Trapezoid!

  2. What is it?? • What is a trapezoid and what do we know about it? • A quadrilateral with at least one pair of parallel sides • Why are rectangles, squares and parallelograms, trapezoids? • Knowing what we know about each shape, (including triangles), how might we find the area of a trapezoid?

  3. There Are 4 Different Ways to Find the Area of a Trapezoid: 2 Triangles & rectangle Parallelogram & 1 Triangle 2 Triangles Formula

  4. An Explanation... A = (bh) + (bh) 2 2 = (bh) + (bh) 2 = (b + b) x h 2 = (a + b) x h 2 But in a trapezoid, there are 2 different sized bases, so we label them differently

  5. There Are 4 Different Ways to Find the Area of a Trapezoid: 2 Triangles & rectangle Parallelogram & 1 Triangle 2 Triangles Formula A = (a + b) x h 2

  6. Example: 2 Triangles & Rectangle 9m 4m 2m 9m 1m A Trapezoid = A + A + A =(bh) + bh + (bh) 2 2 =()+( )+() 2 2 =()+( )+() 2 2 =2m2 + 36m2 + 4m2 =42m2 1m x 4m 2m x 4m 9m x 4m 36m2 8m2 4m2

  7. Example: Parallelogram & Triangles 9m 4m 3m 9m A Trapezoid = A + A =(bh) + bh 2 =()+( ) 2 =()+( ) 2 =6m2 + 36m2 =42m2 3m x 4m 9m x 4m 12m2 36m2

  8. Example: 2 Triangles 9m 4m 12m A Trapezoid = A + A =(bh) + (bh) 2 2 =()+() 2 2 =()+() 2 2 =24m2 + 18m2 =42m2 12m x 4m 9m x 4m 48m2 36m2

  9. Using the Formula! 9m 4m 12m • A = (a + b) x h 2 = ( ) x ( ) 2 = ( ) x ( ) 2 = 84cm2 2 = 42cm2 4m 9m + 12m 21m 4m

  10. Homework: • # 1 – 8 & Reflection

More Related