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MATH 3A CHAPTER NINE PERIMETER AND AREA
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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
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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.
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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)
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Examples – Regular Polygons
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Examples – Irregular Polygons
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Perimeters and Diagonals You can use the Pythagorean Theorem to determine the area of the triangles within a shape.
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Area Area means the surface area of two- dimensional shapes. Each shape has its own area formula:
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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)
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Area and Perimeter!!!
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Some Examples of Area and Perimeter in Actual Real Life
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Cleveland Brown’s Stadium
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Jacob’s Field
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Ak-Rowdy (AKRON)
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