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

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8-4

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  1. 8-4 Area of Parallelograms Course 2 Warm Up Problem of the Day Lesson Presentation

  2. 8-4 Area of Parallelograms Course 2 Warm Up Find each product. 1.8  12 2. 3 3. 9.4  6.3 4. 3.5  7 96 2 3 1 2 1 3 18  5 59.22 24.5

  3. 8-4 Area of Parallelograms Course 2 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. 8-4 Area of Parallelograms Course 2 Learn to find the area of rectangles and other parallelograms.

  5. 8-4 Area of Parallelograms Course 2 Insert Lesson Title Here Vocabulary area

  6. 8-4 Area of Parallelograms Course 2 The area of a figure is the number of unit squares needed to cover the figure. Area is measured in square units. AREA OF A RECTANGLE The area A of a rectangle is the product of its length l and its width w. w A = lw l

  7. 8-4 Area of Parallelograms Course 2 Additional 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. 8-4 Area of Parallelograms Course 2 Try This: 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. 8-4 Area of Parallelograms Height Height Base Base Course 2 For any parallelogram that is not a rectangle, you can cut a right triangle-shaped piece from one side and move it to the other side to form a rectangle. The base of a parallelogram is the length of one side. The height of a parallelogram is the perpendicular distance from the base to the opposite side.

  10. 8-4 Area of Parallelograms Helpful Hint The base of the parallelogram is the length of the rectangle. The height of the parallelogram is the width of the rectangle. AREA OF A PARALLELOGRAM h b Course 2 The area A of a parallelogram is the product of its base b and its height h. A = bh

  11. 8-4 Area of Parallelograms Course 2 Additional Example 2: 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. 8-4 Area of Parallelograms Course 2 Try This: Example 2 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. 8-4 Area of Parallelograms Course 2 Additional Example 3: Measurement Application A carpenter is using 2-ft by 2-ft square tiles to cover a rectangular floor. If the area of the floor is 150 ft2, what is the least number of tiles the carpenter will need? First find the area of each tile. A = lw Use the formula for the area of a square. A = 2 · 2 Substitute 2 for l and 2 for w. A = 4 Multiply. The area of each square tile is 4 ft2.

  14. 8-4 Area of Parallelograms Course 2 Additional Example 3 Continued To find the number of tiles needed, divide the area of the floor by the area of one tile. 150 ft2 4 ft2 = 37.5 Since covering the floor requires more than 37 tiles, the carpenter would need at least 38 tiles.

  15. 8-4 Area of parallelograms Course 2 Insert Lesson Title Here Try This: Example 3 Amanda decided to use 1.5-ft by 1.5-ft square tiles to cover a rectangular floor. If the area of the floor is 200 ft2, what is the least number of tiles Amanda will need? First find the area of each tile. A = lw Use the formula for the area of a square. A = 1.5 · 1.5 Substitute 1.5 for l and 1.5 for w. A = 2.25 Multiply. The area of each square tile is 2.25 ft2.

  16. 8-4 Area of Parallelograms Course 2 Insert Lesson Title Here Try This: Example 3 Continued To find the number of tiles needed, divide the area of the floor by the area of one tile. 200 ft2 2.25 ft2 ≈ 88.9 Since covering the floor requires more than 88 tiles, Amanda would need at least 89 tiles.

  17. 8-4 Area of Parallelograms 105 8 1 8 in2 or 13 57 2 or 1 2 ft2 28 Course 2 Insert Lesson Title Here Lesson Quiz: Part 1 Find the area of each figure. 1. 2. 3. 1 2 3.5 ft 2 ft 7 ft 24.5 ft2 1 4 ft 5 4. 7 ft 1 2 4 84 ft2 12 ft 1 3 6 ft

  18. 8-4 Area of Parallelogram Course 2 Insert Lesson Title Here Lesson Quiz: Part 2 5. Suzanne is planning to use 1 ft by 0.5 ft tiles to finish her bathroom floor. If her floor is 7 ft by 10 ft, how many tiles will she need? 140 tiles

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