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**Area of Complex Figures**

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Review

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Vocabulary and Notes

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Steps Cut the shape into simple shapes that we know the area formulas for. Find the area of each part. Add the areas together to find the area of the complex shape.

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**Find the area of the complex figure.**

The figure can be separated into a rectangle and two congruent triangles.

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Area of rectangle Area of one triangle 5 Answer: The area of the figure is square inches.

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**Find the area of the complex figure.**

Answer:

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**Find the area of the complex figure. Round to the nearest tenth.**

The figure can be separated into two semicircles and a rectangle.

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Area of one semicircle Area of rectangle Answer: The area of the figure is about square centimeters.

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**Find the area of the complex figure. Round to the nearest tenth.**

Answer:

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SHORT-RESPONSE TEST ITEM Below are plans for the new deck on the Obwena’s house. How many square feet of wood will be needed if one square represents two square feet? Read the Test Item You need to find the area of the deck in square units and then multiply this result by 2 to find the area of the deck in square feet.

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**Solve the Test Item Find the area of the deck by dividing it into smaller areas.**

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Region A Square or 4 Region B Triangle or 2 Region C Rectangle or 6

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Region D Rectangle or 8 Region E Triangle Region F Rectangle

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Region G Triangle Region H Square Answer: The total area is or square units. So, 2(36) or 72 square feet of wood is needed to make the deck.

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SHORT-RESPONSE TEST ITEM Below are plans for the new patio to be added in the Murphy’s back yard. How many square feet of concrete will need to be poured if one square represents two square feet? Answer:

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Review

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Columbus State Community College

Columbus State Community College

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