Areas of Odd Areas of Odd ShapesShapesJeneva MoseleyJeneva Moseleyjmoseley@math.utk.edujmoseley@math.utk.eduUniversity of Tennessee, KnoxvilleUniversity of Tennessee, KnoxvilleMathematics DepartmentMathematics Department

Area Addition PostulateArea Addition PostulateIf a given polygonal region is the union of two or more polygonal regions that intersect in a finite number of points or segments, then the area of the union is the sum of the areas of the polygonal regions.

Are you able to find this Are you able to find this area?area?

Heron’s FormulaHeron’s Formula

le.any triang of

sides theare ,, and2

where

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Proof of Heron’s FormulaProof of Heron’s Formula

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2 and 2

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that noticeFirst

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triangle. theinside altitudean has c

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Theorem!

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get to2

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Try the Star Light Try the Star Light Star Bright problem.Star Bright problem.

Fractalicious HandoutFractalicious Handout

How Much is that Doggy How Much is that Doggy in the Fancy Window?in the Fancy Window?

Take a loop of Take a loop of string and string and listen to listen to instructions.instructions.