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)

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 ?

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)

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

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

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

Area if a Rhombus Area =

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.

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

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

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.

Now you try an example

Does it work with other shapes?

The end

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