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Area of Complex Figures

Area of Complex Figures. 7.3. Review. Vocabulary and Notes. 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. Find the area of the complex figure.

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Area of Complex Figures

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  1. Area of Complex Figures 7.3

  2. Review

  3. Vocabulary and Notes

  4. 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.

  5. Find the area of the complex figure. The figure can be separated into a rectangle and two congruent triangles.

  6. 5 Answer:The area of the figure is square inches. Area of rectangle Area of one triangle

  7. Answer: Find the area of the complex figure.

  8. Find the area of the complex figure. Round to the nearest tenth. The figure can be separated into two semicircles and a rectangle.

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

  10. Find the area of the complex figure. Round to the nearest tenth. Answer:

  11. SHORT-RESPONSE TEST ITEMBelow 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 ItemYou 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.

  12. Solve the Test ItemFind the area of the deck by dividing it into smaller areas.

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

  14. or 8 Region D Rectangle Region ETriangle Region FRectangle

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

  16. SHORT-RESPONSE TEST ITEMBelow 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:

  17. Review

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