IWBAT Find The Area Of Irregular Figures
9-6 Area of Irregular FiguresIWBAT find the area of irregular figures.
9-6 Area of Irregular FiguresVocabularycomposite figure
9-6 Area of Irregular FiguresWRITE:A composite figure is made up of simplegeometric shapes, such as triangles andrectangles. You can find the area of anirregular figure by separating it into nonoverlapping familiar figures. The sum ofthe areas of these figures is the area ofthe irregular figure. You can also estimatethe area of an irregular figure by usinggraph paper.
9-6 Area of Irregular FiguresEX 1: Estimating the Area of an Irregular FigureEstimate the area of the figure. Each squarerepresents one square yard.Count the number of filled oralmost-filled squares: 45 squares.Count the number of squares thatare about half-full: 10 squares.Add the number of filled squares plus½ the number of half-filledsquares: 45 ( 1 10) 45 5 502The area of the figure is about 50 yd2.
9-6 Area of Irregular FiguresEX 2: Finding the Area of an Irregular FigureFind the area of the irregular figure. Use 3.14for .Step 1: Separate the figure into16 msmaller, familiar figures.9m16 mStep 2: Find the area of eachsmaller figure.Area of the parallelogram:A bhA 16 A 1449Use the formula for thearea of a parallelogram.Substitute 16 for b.Substitute 9 for h.
9-6 Area of Irregular FiguresEX 2 ContinuedFind the area of the irregular figure. Use 3.14for .16 mArea of the semicircle:9m16 mThe area of a semicircle1is the area of a circle.21A (3.14 82) Substitute 3.14 for 2and 8 for r.1A (200.96)21A ( r) 2A 100.48Multiply.
9-6 Area of Irregular FiguresEX 2 ContinuedFind the area of the irregular figure. Use 3.14for .16 m9m16 mStep 3: Add the area to find thetotal area.A 144 100.48 244.48The area of the figure is about244.48 m2.
9-6 Area of Irregular FiguresEX 3: Problem Solving ApplicationThe Wrights want to tile their entry withone-square-foot tiles. How much tile willthey need?5 ft8 ftt4 ft7 ft
9-6 Area of Irregular FiguresEX 3 Continued1Study the Problem and Organize the FactsRewrite the question as a statement. Find the amount of tile needed to cover theentry floor.List the important information: The floor of the entry is an irregular shape. The amount of tile needed is equal to thearea of the floor.
9-6 Area of Irregular FiguresEX 3 Continued2Line Up a PlanFind the area of the floor by separating thefigure into familiar figures: a rectangle and atrapezoid. Then add the areas of the rectangleand trapezoid to find the total area.5 ft8 ft4 ft7 ftt
9-6 Area of Irregular FiguresEX 3 Continued3Verify the Plan with ActionFind the area of each smaller figure.Area of the rectangle:Area of the trapezoid:1A lwA h(b1 b2) 2A 8 51 4(5 7) A 2A 401A 4 (12) Add the areas to2find the total area.A 24A 40 24 64The Wrights’ need 64 ft2 of tile.
9-6 Area of Irregular FiguresEX 3 Continued4Evaluate Your SolutionThe area of the entry must be greater thanthe area of the rectangle (40 ft2), so theanswer is reasonable.
9-6 Area of Irregular Figures WRITE: A composite figure is made up of simple geometric shapes, such as triangles and rectangles. You can find the area of an irregular figure by separating it into non-overlapping familiar figures. The sum of the areas of these figures is the area of the irregular figure. You can also estimate
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