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5-Minute Check 1

A B C D. Find the area of a circle to the nearest tenth. Rebecca cuts a round piece of cardboard to use to make a top hat. The diameter is 7.5 centimeters. What is the area of the cardboard circle?. 5-Minute Check 1. Splash Screen.

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5-Minute Check 1

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  1. A B C D Find the area of a circle to the nearest tenth. Rebecca cuts a round piece of cardboard to use to make a top hat. The diameter is 7.5 centimeters. What is the area of the cardboard circle? 5-Minute Check 1

  2. Splash Screen

  3. You found the areas of parallelograms, triangles, and trapezoids. (Lesson 11–6) • Find the area of composite figures. • Solve problems involving the area of composite figures. Then/Now

  4. Concept

  5. A figure that is made up of two or more shapes • composite figure Vocabulary

  6. Find the Area of Composite Figures Find the area of the composite figure. Round to the nearest tenth if necessary. First, separate the figure into a triangle, square, and a quarter-circle. Then find the sum of the areas of the figure. Example 1

  7. Find the Area of Composite Figures Area of a triangle b = 2 and h = 4 Simplify. Example 1

  8. Find the Area of Composite Figures A = s2Area of a square A = 22s = 2 A = 4 Simplify. Example 1

  9. Find the Area of Composite Figures Area of a quarter-circle r = 2 Simplify. Example 1

  10. Find the Area of Composite Figures Total Area A = 4 + 4 + 3.1 Add the areas A = 11.1 in2 Simplify Answer:The area is about 11.1 square inches. Example 1

  11. A B C D Find the area of the figure to the nearest tenth. A. 71.1 cm2 B. 58.6 cm2 C. 58.3 cm2 D. 52.3 cm2 Example 1

  12. Solve Multi-Step Problems CARPETINGCarpeting costs $2 per square foot. How much will it cost to carpet the area shown? Understand You know the dimensions of the figure. You need to find its area. Plan First, separate the figure into a rectangle, a square, and a triangle. Then find the sum of the areas of the figure. Example 2

  13. Solve Multi-Step Problems Solve Step 1 Find the area to be carpeted. Area of Rectangle A = bh Area of a rectangle A = (14)(10) Replace b with 14 and h with 10. A = 140 Simplify. Example 2

  14. Solve Multi-Step Problems Solve Area of Square A = s2Area of a square A = 32 Replace s with 3. A = 9 Simplify. Example 2

  15. Solve Multi-Step Problems Solve Area of Triangle Area of a triangle Replace b with 14 and h with 12. Simplify. The area to be carpeted is140 + 9 + 84 or 233 square feet. Example 2

  16. Solve Multi-Step Problems Step 2 Find the cost of the carpeting. 2(233) = 466 Answer: So, it will cost $466 to carpetthe area shown. Check The area of the figure should be a little less than the area of a rectangle that is 14 feet by 22 feet. Since the area of a 14-by-22-foot rectangle is 308 square feet, the answer of an area of 233 square feet is reasonable. Example 2

  17. A B C D PAINTING One gallon of paint is advertised to cover 100 square feet of wall surface. About how many gallons will be needed to paint the wall shown? A. about 3 gallons B. about 4 gallons C. about 5 gallons D. about 6 gallons Example 2

  18. End of the Lesson

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