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7.3 Area of Complex Figures

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What are the formulas for the areas of a parallelogram, triangle, trapezoid, and circle? What is the circumference formula for a circle? Parallelogram A = bh Triangle A = ½ bh Trapezoid A = ½ h(b 1 + b 2 ) Circle A = Π r 2 Circle C = Π d or 2 Π r

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Example 1 Find the area of the complex figure. How can this figure be separated? What are the formulas that are needed to solve this problem? Triangle A = ½ bh A = ½ (12)(4) A = 24 Rectangle A = bh A = 12(15) A = The area of the figure is This equals 204. NOW WHAT!?!

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Example 2 Find the area of the complex figure. What formulas do we use? 6 11 Semi-circle A = ½ Πr 2 Triangle A = ½ bh A = ½ (6)(11) A = 33 A = ½ Π (3) 2 A = 14.1 Now what!?! Add the areas together = 37.1

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Example 3 Find the area of the complex figure. What shapes can this be separated into? What are the formulas needed? Triangle A = ½ bh A = ½ (12)(8) A = 48 Rectangle A = bh A = 8(24) A = 192 Add the areas together = 240

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Practice Find the area of the complex figures Rectangle A = bh A = 7(10) A = 70 2 half circles = 1 whole circle Circle A = Π r 2 A = Π(3.5) 2 A = = 108.5

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Practice… Square A = s 2 A = 6 2 A = 36 Remember: there are 2 squares Trapezoid A = ½ h(b 1 +b 2 ) A = ½ 5 (18 + 8) A = ½ 5(26) A = 65 Add them up! = 137

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