1. Splash Screen

2. Lesson Menu Five-Minute Check (over Lesson 11–4) Main Idea and Vocabulary Example 1:Solve a Simpler Problem

3. Main Idea/Vocabulary Solve problems by solving a simpler problem.

4. Example 1 Solve a Simpler Problem PAINT Ben and Sheila are going to paint the wall of a room as shown. What is the area that will be painted?

5. Example 1 Solve a Simpler Problem UnderstandYou know that the entire wall is a rectangle and that the door and window are each rectangles. PlanFind the area of each of the rectangles separately. Then subtract the areas of the door and window from the area of the entire wall. SolveArea of Wall A = ℓ w A = 12 ● 9 A = 108

6. Example 1 Solve a Simpler Problem Area of DoorArea of Window A = ℓ wA = ℓ w A = 3 ● 7A = 4 ● 5 A = 21A = 20 Answer: The area to be painted is 108 – 21 – 20 or 67 square feet. Check The area to be painted is about the area of the entire wall. So, the answer is reasonable. 2 3

7. 1.A 2.B 3.C 4.D Example 1 A.56 ft 2 B.145 ft 2 C.172 ft 2 D.212 ft 2 Karen is placing a rectangular area rug measuring 8 feet by 10 feet in a rectangular dining room that measures 14 feet by 18 feet. Find the area of the flooring that is not covered by the area rug. Use the solve a simpler problem strategy.

8. End of the Lesson

9. Resources Five-Minute Check (over Lesson 11–4) Image Bank Math Tools Area of Trapezoids Drawing 3-D Figures Area of Polygons

10. 1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 11-4) A.8.8 cm 2 B.12.3 cm 2 C.17.6 cm 2 D.24.6 cm 2 Find the area of the circle. Round to the nearest tenth.

11. 1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 11-4) A.50.3 ft 2 B.39.4 ft 2 C.25.1 ft 2 D.12.6 ft 2 Find the area of the circle. Round to the nearest tenth.

12. 1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 11-4) A.40.9 m 2 B.81.7 m 2 C.132.7 m 2 D.256.6 m 2 Find the area of the circle. Round to the nearest tenth.

13. 1.A 2.B 3.C 4.D Five Minute Check 4 (over Lesson 11-4) A.111.5 yd 2 B.247.4 yd 2 C.494.6 yd 2 D.989.3 yd 2 Find the area of the circle whose diameter is yards.

14. 1.A 2.B 3.C 4.D Five Minute Check 5 (over Lesson 11-4) A.339.1 in 2 B.141.3 in 2 C.84.8 in 2 D.75.4 in 2 Find the area of the shaded region shown in the figure. Round to the nearest tenth.

15. 1.A 2.B 3.C 4.D Five Minute Check 6 (over Lesson 11-4) A.49 mm B.25 mm C.8 mm D.7 mm What is the radius of a circle that has an area of 154 square millimeters?

16. End of Custom Shows