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Warm Up

Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. Warm Up Find each product. 1. 8  12 2. 3 3. 9.4  6.3 4. 3.5  7. 96. 1 3. 2 3. 1 2. 18.  5. 59.22. 24.5. Problem of the Day

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Warm Up

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. Warm Up Find each product. 1. 8  12 2. 3 3. 9.4  6.3 4. 3.5  7 96 1 3 2 3 1 2 18  5 59.22 24.5

  3. Problem of the Day How many 3 ft by 2 ft rectangles can you cut from one 8 ft by 4 ft rectangle? How much will be left over? 5 pieces; 2 ft2 left over

  4. Learn to find the area of rectangles and other parallelograms.

  5. Vocabulary area

  6. The area of a figure is the number of unit squares needed to cover the figure. Area is measured in units of length squared, or square units.

  7. Example 1: Finding the Area of a Rectangle Find the area of the rectangle. 4.5 in. 7.4 in. A = lw Use the formula. Substitute for l and w. A = 7.4 · 4.5 Multiply. A = 33.3 The area of the rectangle is 33.3 in2.

  8. Check It Out: Example 1 Find the area of the rectangle. 6.3 in. 8.2 in. A = lw Use the formula. Substitute for l and w. A = 8.2 · 6.3 Multiply. A = 51.66 The area of the rectangle is 51.66 in2.

  9. Example 2: Finding Length or Width of a Rectangle The area of a playing field is 1,470 ft2 and the length is 42 ft. What is the width of the field? Use the formula for the area of a rectangle. A = lw 1,470 = 42 · w Substitute 1,470 for A and 42 for l. 42 · w 42 1,470 42 = Divide both sides by 42 to isolate w. 35 = w The width of the playing field is 35 ft.

  10. Check It Out: Example 2 The area of a rectangular parking lot is 3,570 ft2 and the width is 70 ft. What is the length of the parking lot? Use the formula for the area of a rectangle. A = lw 3,570 = l · 70 Substitute 3,570 for A and 70 for w. 3,570 70 70 · w 70 = Divide both sides by 70 to isolate w. 51 = l The length of the parking lot is 51 ft.

  11. Example 3: Finding the Area of a Parallelogram Find the area of the parallelogram. A = bh A = 16 · 8 8 m A = 128 16 m The area of the parallelogram is 128 m2.

  12. Check It Out: Example 3 Find the area of the parallelogram. A = bh A = 12 · 6 6 cm A = 72 12 cm The area of the parallelogram is 72 cm2.

  13. 4 yd 5 yd Example 4: Measurement Application A carpenter is laying a wood floor measuring 4 yd by 5 yd. How many square feet of flooring material does she need? First draw and label a diagram. Look at the units. The wood floor is measured in yards, but the answer should be in square feet. Convert yards to feet by using a conversion factor.

  14. Example 4 Continued... Now find the area in square feet. Use the formula for the area of a rectangle. A = lw A = 15 · 12 Substitute 15 for l and 12 for w. A = 180 Multiply. She needs 180 ft2 of flooring material.

  15. 6 yd 8 yd Check It Out: Example 4 A carpenter is laying a wood floor measuring 6 yd by 8 yd. How many square feet of flooring material does he need? First draw and label a diagram. Look at the units. The wood floor is measured in yards, but the answer should be in square feet. Convert yards to feet by using a conversion factor.

  16. Check It Out: Example 4 Continued... Now find the area in square feet. Use the formula for the area of a rectangle. A = lw A = 24 · 18 Substitute 24 for l and 18 for w. A = 432 Multiply. He needs 432 ft2 of flooring material.

  17. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  18. 105 8 1 8 in2 or 13 57 2 or 1 2 ft2 28 Lesson Quiz: Part I Find the area of each figure. 1. 2. 3. 24.5 ft2 4. 84 ft2

  19. Lesson Quiz: Part II 5. Diego is building a rectangular platform measuring 36 in. by 54 in. What is the area of the platform in square feet? 13.5 ft2

  20. Lesson Quiz for Student Response Systems • 1. Identify the area of the rectangle. • A. 28.09 cm2 • B. 28.6 cm2 • C. 47.7 cm2 • D. 81 cm2 9 cm 5.3 cm

  21. Lesson Quiz for Student Response Systems • 2. Identify the area of the parallelogram. • A. 144 in2 • B. 72 in2 • C. 50 in2 • D. 25 in2

  22. Lesson Quiz for Student Response Systems • 3. Marcheline is building a wooden deck measuring 192 in. by 144 in. What is the area of the platform in square feet? • A. 192 ft2 • B. 27,648 in2 • C. 28 ft2 • D. 32 ft2

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