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10-3

Break into Simpler Parts. 10-3. Course 1. Warm Up. Problem of the Day. Lesson Presentation. Break into Simpler Parts. 10-3. 40 cm 2. 216 ft 2. 64 cm 2. Course 1. Warm Up 1. What is the area of a rectangle with length 10 cm and width 4 cm?

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10-3

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  1. Break into Simpler Parts 10-3 Course 1 Warm Up Problem of the Day Lesson Presentation

  2. Break into Simpler Parts 10-3 40 cm2 216 ft2 64 cm2 Course 1 Warm Up 1.What is the area of a rectangle with length 10 cm and width 4 cm? 2. What is the area of a parallelogram with base 18 ft and height 12 ft? 3. What is the area of a triangle with base 16 cm and height 8 cm?

  3. Break into Simpler Parts 10-3 Course 1 Problem of the Day Four squares are stacked in a tower. The bottom square is 12 inches on a side. The perimeter of each of the other squares is half of the one below it. What is the perimeter of the combined figure? 69 in.

  4. Break into Simpler Parts 10-3 Course 1 Learn to break a polygon into simpler parts to find its area.

  5. Break into Simpler Parts 10-3 1.7 cm 1.3 cm 4.9 cm 2.1 cm Course 1 Additional Example 1A: Finding Areas of Composite Figures Find the area of the polygon. A. Think: Break the polygon apart into rectangles. Find the area of each rectangle.

  6. Break into Simpler Parts 10-3 1.7 cm 1.3 cm 4.9 cm 2.1 cm Course 1 Additional Example 1A Continued A =lw A =lw Write the formula for the area of a rectangle. A = 4.9•1.7 A = 2.1 •1.3 A = 8.33 A = 2.73 8.33 + 2.73 = 11.06 Add to find the total area. The area of the polygon is 11.06 cm2.

  7. Break into Simpler Parts 10-3 Course 1 Additional Example 1B Continued Find the area of the polygon. B. Think: Break the figure apart into a rectangle and a triangle. Find the area of each polygon.

  8. Break into Simpler Parts 10-3 A =bh A = •28 •12 1 1 __ __ 2 2 Course 1 Additional Example 1B Continued A =lw A = 28•24 A = 672 A = 168 Add to find the total area of the polygon. 672 + 168 = 840 The area of the polygon is 840 ft2.

  9. Break into Simpler Parts 10-3 1.9 cm 1.5 cm 5.5 cm 2 cm Course 1 Try This: Example 1A Find the area of the polygon. A. 1.9 cm 5.5 cm 1.5 cm 2 cm 3.4 cm Think: Break the polygon apart into rectangles. Find the area of each rectangle.

  10. Break into Simpler Parts 10-3 1.9 cm 1.5 cm 5.5 cm 2 cm Course 1 Try This: Example 1A Continued A =lw A =lw Write the formula for the area of a rectangle. A = 5.5•1.9 A = 2 •1.5 A = 10.45 A = 3 10.45 + 3 = 13.45 Add to find the total area. The area of the polygon is 13.45 cm2.

  11. Break into Simpler Parts 10-3 16 ft 22 ft 20 ft 22 ft Course 1 Try This: Example 1B Find the area of the polygon. B. 36 ft 20 ft 22 ft Think: Break the figure apart into a rectangle and a triangle. Find the area of each polygon.

  12. Break into Simpler Parts 10-3 A =bh A = •22 •16 1 1 __ __ 2 2 Course 1 Try This: Example 1B Continued 16 ft 20 ft 22 ft 22 ft A =lw A = 22•20 A = 440 A = 176 Add to find the total area of the polygon. 440 + 176 = 616 The area of the polygon is 616 ft2.

  13. Break into Simpler Parts 10-3 Course 1 Additional Example 2: Art Application Patrick made a design. All the sides are 5 inches long, except for two longer sides that are each 20 inches. All the angles are right angles. What is the area of the quilt design? 20 in. Think: Divide the design into 3 rectangles. Find the area of one rectangle that has a length of 20 in and a width of 5 in. 5 in. 20 in. A = lw Write the formula. A = 20•5 = 100 Multiply to find the area of the 3 rectangles. 3 • 100 = 300 The area of the design is 300 in2.

  14. Break into Simpler Parts 10-3 Helpful Hint You can also use the formula A = s2 , where s is the length of a side, to find the area of a square. Course 1

  15. Break into Simpler Parts 10-3 Course 1 Try This: Example 2 Yvonne made quilt design. All the sides are 4 inches long, except for the two longer sides that are each 16 inches. All the angles are right angles. What is the area of the quilt design? Think: Divide the quilt design into 10 squares. Find the area of one square that has a side length of 4 in. 16 in. 4 in. 16 in. A = lw Write the formula. A = 4•4 = 16 Multiply to find the area of the 10 squares. 10 • 16 = 160 The area of the quilt design is 160 in2.

  16. Break into Simpler Parts 10-3 Course 1 Insert Lesson Title Here Lesson Quiz Find the area of the figure shown. 220 units2

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