1. 3.3b: Area and Perimeter M(G&M)–10–6 Solves problems involving perimeter, circumference, or area of two dimensional figures (including composite figures) or surface area or volume of three - Quadrilaterals and composite shapes CCSS: GSE’s

2. Area of Parallelograms Base (b) = One side of the parallelogram Height (h) = distance between the bases (must be perpendicular) Base height Area of a Parallelogram = (b)(h) Why ?

3. Base height What shape will it make when we cut off the triangle on the side and put in on the other side? A rectangle with the area= (base)*(height)

4. How many square yards of carpeting are needed to cover the family room, hallway, and bedroom?

5. Area if Triangles *b= base of the triangle *h = height of the triangle * Both are touching the 90 degree angle in the triangle But Why ?

6. b h h It is half of a parallelogram with the same exact base and height

7. Area if a Rhombus Area =

8. Example A rhombus has an area of 50 square mm. If one diagonal has a length of 10 mm, How long is the other diagonal.

9. Area of a Trapezoid Base (parallel side) Base Height (has to be perpendicular to bases)

10. Example #1- Find the area #2 - Find the area

11. M(G&M)–10–9 Solves problems on and off the coordinate plane involving distance, midpoint, perpendicular and parallel lines, or slope. Find the area Use a geometric (area) approach Instead of algebraic (slope, distance) Now you have a rectangle With dimensions of 4 by 6. 4 units 6 units To get the area of the original triangle, subtract the new triangles from the overall rectangle. This will leave you with the area of the original triangle. 1 23

12. Now you try an example

13. Does it work with other shapes?

14. The end

15. http://mathsteaching.files.wordpress.com/2008/01/areas-of-compound-shapes.jpg