Finding the Area of Polygons Vocabulary Perimeter – The sum of all sides of the shape. Area – The total occupied space of a shape in units squared.

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Presentation transcript:

Finding the Area of Polygons

Vocabulary Perimeter – The sum of all sides of the shape. Area – The total occupied space of a shape in units squared.

Area of Triangles Base (b) Height (h)

We know how to find the area of a square or a rectangle

What if we cut the shapes in half?

Example = = 12 units squared

Try

One More

Notice all of our examples have been right triangles In other triangles, you must make sure you are using the height. Height is always perpendicular to the base

Find the Area 3 in 7 in 5 in

Find the Area 6 in 12 in 10 in

….and these guys make millions…

Finding the Area of Other Polygons

We Know How to Find the Area of Several Figures Already

Finding the area of a rhombus and parallelogram They are just squares and rectangles pushed over Area = 4 un² Notice that we are not using the length of the angled side! 3

Trapezoid Formula for area

Trapezoids

Area of Other Polygons

Sometimes Things Are Not Perfect or We are Missing Vital Information Divide the shape into shapes we can use

Example

4 4

2 2 3

Closure: With a partner find the area