MATH 3A CHAPTER NINE

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)