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MATH 3A CHAPTER NINE

Learn how to calculate perimeters for polygons, use Pythagorean Theorem for areas, and apply area formulas for various shapes. Understand perimeter as the distance around shapes and area as the surface measurement of two-dimensional shapes. Explore real-life examples.

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MATH 3A CHAPTER NINE

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  1. MATH 3A CHAPTER NINE PERIMETER AND AREA

  2. LEARNING TARGETS • AFTER YOU COMPLETE THIS CHAPTER, YOU WILL BE ABLE TO: • CALCULATE PERIMETERS FOR REGULAR AND IRREGULAR POLYGONS • CALCUALTE AREA FOR POLYGONS • CALCULATE PERIMETERS USING DIAGONALS • USE PYTHAGOREAN THEOREM TO CALCULATE AREAS AND PERIMETERS

  3. PERIMETER • PERIMETER IS THE DISTANCE AROUND THE OUTISDE OF SHAPES. YOU SIMPLY ADD THE MEASUREMENTS. • CAN BE CALCUALTED FOR MANY SHAPES, AND SOME SHAPES HAVE THEIR OWN PERIMETER FORMULA.

  4. COMMON PERIMETER FORMULAS • Equilateral Triangle • P = s + s + s • Rhombus • P = s + s + s + s • Square • P = s + s + s + s • Rectangle • = 2l + 2w (2 lengths + 2 widths) • Pentagon (regular) • P – s + s + s + s + s • Hexagon (regular) • P = s + s + s + s + s + s • Any other regular polygon • P = n(s)

  5. Examples – Regular Polygons

  6. Examples – Irregular Polygons

  7. Perimeters and Diagonals • You can use the Pythagorean Theorem to determine the area of the triangles within a shape.

  8. Area • Area means the surface area of two-dimensional shapes. Each shape has its own area formula:

  9. Area Formulas • Rectangle • A = lw (length times width) • Square • A = s² (in a square – all sides are equal) • Parallelogram • A = bh (base times height) • Rhombus • A = bh (base times height) • Trapezoid •1/2h(sum of base 1 and base 2) • Triangle • 1/2bh (1/2 of the base times the height)

  10. Area and Perimeter!!!

  11. Some Examples of Area and Perimeter in Actual Real Life

  12. Cleveland Brown’s Stadium

  13. Jacob’sField

  14. Ak-Rowdy • (AKRON)

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