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Unformatted text preview: a. If two polygonal regions intersect only in edges and vertices (or do not intersect at all), then the area of their union is the sum of their areas i. If , then (as long as their intersection of the regions and is contained in a finite number of segment. ii. If and are triangular regions and R is their union, then iii. We can determine the correct value of aR by cutting the region up into nonoverlapping triangles, and counting each triangular region only once. G) Postulate 22 (The Unit Postulate) a. The area of a square region is the square of the length of its edge. H) Theorem 111 a. The area of a rectangle is the product of its base and its altitude i. Proof ii. What is the area of the whole figure? iii. What is the area of the two squares and two rectangles within the large shape? (A represents the area of each rectangle)...
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 Spring '09
 Johnson
 Algebra, Geometry, triangle, polygonal region

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