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Finding the Area of Polygons

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. Height (h). Base (b). or . We know how to find the area of a square or a rectangle. What if we cut the shapes in half?.

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Finding the Area of Polygons

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  1. Finding the Area of Polygons

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

  3. Area of Triangles Height (h) Base (b) or

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

  5. What if we cut the shapes in half?

  6. Example = = = 12 units squared

  7. Try

  8. One More

  9. 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

  10. Find the Area 5 in 3 in 7 in

  11. Find the Area 10 in 6 in 12 in

  12. Finding the Area of Other Polygons

  13. We Know How to Find the Area of Several Figures Already

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

  15. Trapezoid • Formula for area

  16. Trapezoids 5 =5 = 5 = 35 units squared

  17. Area of Other Polygons

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

  19. Example

  20. Example

  21. 4 4

  22. 2 3 2

  23. Closure: With a partner find the area 6 3 5 4

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