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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. Sunshine State Standards Prep for MA.7.G.2.1 Justify and use formulas for surface area and volume of pyramids, prisms, cylinders, and cones. Review of MA.6.G.4.3

  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. Additional Example 1A: Finding the Area of Rectangles and Parallelograms Find the area of the rectangle. 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. Additional Example 1B: Finding the Area of Rectangles and Parallelograms Find the area of the parallelogram. A = bh A = 16 · 8 A = 128 The area of the parallelogram is 128 m2.

  9. Check It Out: Example 1A 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.

  10. Check It Out: Example 1B 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.

  11. Additional Example 2A: Finding the Area of a Triangle Find the area of the triangle. 1 2 bh A = Use the formula. 1 2 Substitute 8 for b and 5 for h. (8 · 5) A = A = 20 The area of the triangle is 20 square units.

  12. Additional Example 2B: Finding the Area of a Triangle Find the area of the triangle. 1 2 Use the formula. A = bh 1 2 (9 · 12) A = Substitute 9 for b and 12 for h. A = 54 The area of the triangle is 54 square units.

  13. Check It Out: Example 2A Find the area of the triangle. 1 2 bh A = Use the formula. 1 2 Substitute 6 for b and 9 for h. (6 · 9) A = 9 A = 27 6 The area of the triangle is 27 square units.

  14. Check It Out: Example 2B Find the area of the triangle. 1 2 bh A = Use the formula. 1 2 Substitute 7 for b and 10 for h. 10 (7 · 10) A = A = 35 7 The area of the triangle is 35 square units.

  15. The two parallel sides of a trapezoid are its bases, b1 and b2. The height of a trapezoid is the perpendicular distance between the bases.

  16. Reading Math In the term b1, the number 1 is called a subscript. It is read as “b-one” or “b sub-one.”

  17. Additional Example 3A: Finding the Area of a Trapezoid Find the area of the trapezoid. 1 2 h(b1 + b2) A = Use the formula. 1 2 · 6(5 + 9) A = Substitute. 1 2 Add. · 6(14) A = A = 42 Multiply. The area of the trapezoid is 42 in2.

  18. Additional Example 3B: Finding the Area of a Trapezoid Find the area of the trapezoid. 1 2 h(b1 + b2) A = Use the formula. 1 2 · 7(12 + 16) A = Substitute. 1 2 Add. · 7(28) A = A = 98 Multiply. The area of the trapezoid is 98 cm2.

  19. Check It Out: Example 3A Find the area of the trapezoid. 1 2 h(b1 + b2) A = Use the formula. 1 2 · 6(11 + 4) A = Substitute. 11 in. 4 in. 6 in. 1 2 Add. · 6(15) A = A = 45 Multiply. The area of the trapezoid is 45 in2.

  20. Check It Out: Example 3B Find the area of the trapezoid. 1 2 h(b1 + b2) A = Use the formula. 16 cm 1 2 · 9(5 + 16) A = Substitute. 9 cm 1 2 Add. · 9(21) A = 5 cm A = 94.5 Multiply. The area of the trapezoid is 94.5 cm2.

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

  22. 57 2 or 1 2 ft2 28 Lesson Quiz Find the area of each figure. 1. 2. 3. 4. 5. 6. 24.5 ft2 45 ft2 9 in2 60 ft2 87.5 ft2

  23. 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

  24. 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

  25. Lesson Quiz for Student Response Systems 3. Identify the area of the triangle. A. 48 cm2 B. 20 cm2 C. 36 cm2 D. 96 cm2

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