1. 3.1b: Area and Perimeter - Quadrilaterals and composite shapes
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
M(G&M)–10–7 Uses units of measure appropriately and consistently when solving problems across content strands; makes conversions within or across systems and makes decisions concerning an appropriate degree of accuracy in problem situations involving measurement in other GSEs. (State)

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

3. A rectangle with the area= (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. But Why ? Area if Triangles *b= base of the triangle
*h = height of the triangle
* Both are touching the 90 degree angle in the triangle

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

7. Area if a Rhombus
Area =

8. A rhombus has an area of 50 square mm.
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 Height (has to be perpendicular to bases)
Base (parallel side)

10. Example
#2 - Find the area
#1- 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) 3 2
6 units
Now you have a rectangle
With dimensions of 4 by 6. 1
4 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.

12. Now you try an example

13. Does it work with other shapes?

14. The end

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