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11.4 Areas of Composite Figures
Objectives: Find areas of composite figures.
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composite figures Figure that can be separated into regions that are basic figures The area of a region is the sum of all the areas of the regions nonoverlapping parts Area of composite figure = area of square + area of triangle + area of hexagon
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Mrs. Smith needs a new sidewalk. Find the area.
6 ft. The dashed line divides the sidewalk into a rectangle and a trapezoid. Areasidewalk = Arect + Atrap = bh ½ (b1 + b2)h = (3)(11) + ½ (6+3)(4) = 51 ft2 4 ft. 15 ft. 3 ft.
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Find the area inside the track at the football field.
The region inside the track includes a rectangle and 2 semi-circles Area = Arearect + 2Areasemi-circle = bh + r2 = (140)(50) + (25)2 yd2 50 yd 140 yd
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