1. Holt CA Course 1 10-3 Area of Parallelograms Warm Up California Standards Lesson PresentationPreview

2. Holt CA Course 1 10-3 Area of Parallelograms Warm Up Find each product. 1. 8  12 2. 3 3. 9.4  6.3 4. 3.5  7 96 59.22 1212  5 1313 24.5 18 2323 56 3 or

3. Holt CA Course 1 10-3 Area of Parallelograms AF3.1 Use variables in expressions describing geometric quantities (e.g., P = 2w + 2l, A = bh, C =  d–the formulas for the perimeter of a rectangle, the area of a triangle, and the circumference of a circle, respectively). Also covered: NS2.1, AF1.1, AF2.1, AF3.2 California Standards 1212

4. Holt CA Course 1 10-3 Area of Parallelograms Objective: You will learn how to (YWLHT) find the area of rectangles and other parallelograms.

5. Holt CA Course 1 10-3 Area of Parallelograms Vocabulary area base height

6. Holt CA Course 1 10-3 Area of Parallelograms The area of a figure is the number of non-overlapping unit squares needed to cover the figure. Area is measured in square units. The base of a parallelogram is the length of one side. Its height is the perpendicular distance from the base to the opposite side. For a rectangle, the base is the same as the length, and the height is the same as the width. h b Area = 15 square units

7. Holt CA Course 1 10-3 Area of Parallelograms

8. Holt CA Course 1 10-3 Area of Parallelograms Find the area of the parallelogram. Example 1: Finding the Area of a Parallelogram 8 m 16 m The area of the parallelogram is 128 m 2.

9. Holt CA Course 1 10-3 Area of Parallelograms Find the area of the parallelogram. 6 cm 12 cm The area of the parallelogram is 72 cm 2. Check It Out! Example 2

10. Holt CA Course 1 10-3 Area of Parallelograms Find the area of the rectangle. Example 3: Finding the Area of a Rectangle 4.5 in. 7.4 in. The area of the rectangle is 33.3 in 2.

11. Holt CA Course 1 10-3 Area of Parallelograms Find the area of the rectangle. 6.3 in. 8.2 in. The area of the rectangle is 51.66 in 2. Check It Out! Example 4

12. Holt CA Course 1 10-3 Area of Parallelograms The area of a playing field is 1,470 ft 2 and the length is 42 ft. What is the width of the field? Example 5: Finding Length or Width of a Rectangle The width of the playing field is 35 ft.

13. Holt CA Course 1 10-3 Area of Parallelograms The area of a rectangular parking lot is 3,570 ft 2 and the width is 70 ft. What is the length of the parking lot? Check It Out! Example 6 The length of the parking lot is 51 ft.

14. Holt CA Course 1 10-3 Area of Parallelograms A carpenter is laying a wood floor measuring 4 yd by 5 yd. How many square feet of flooring material does she need? Example 7: Measurement Application Step 1: Draw and label a diagram. Step 2: Convert the units. 4 yd 5 yd

15. Holt CA Course 1 10-3 Area of Parallelograms A carpenter is laying a wood floor measuring 4 yd by 5 yd. How many square feet of flooring material does she need? Example 7 Continued Step 3: Find the area of the floor in square feet. A = lw Use the formula for the area of a rectangle. The carpenter needs 180 ft 2 of flooring material. 12 ft 15 ft

16. Holt CA Course 1 10-3 Area of Parallelograms A carpenter is laying a tile floor measuring 5 yd by 7 yd. How many square feet of tile material does she need? Check It Out! Example 8 Step 1: Draw and label a diagram. Step 2: Convert the units. 5 yd 7 yd

17. Holt CA Course 1 10-3 Area of Parallelograms Check It Out! Example 8 Continued Step 3: Find the area of the tile floor in square feet. A = lw A carpenter is laying a tile floor measuring 5 yd by 7 yd. How many square feet of tile material does she need? 15 ft 21 ft The carpenter needs 315 ft 2 of flooring material.

18. Holt CA Course 1 10-3 Area of Parallelograms Home Learning On-Line Tutoring

19. Holt CA Course 1 10-3 Area of Parallelograms Lesson Quiz: Part I Find each perimeter. 1. 2. 3. What is the perimeter of a polygon with side lengths of 15 cm, 18 cm, 21 cm, 32 cm, and 26 cm? 9 cm 4 ft 112 cm 5 6 __

20. Holt CA Course 1 10-3 Area of Parallelograms Lesson Quiz Find the circumference of each circle. Use 3.14 as an estimate for . 1. 2. 3. Find the circumference of a circle with diameter of 20 feet. Use 3.14 as an estimate t for . C ≈ 25.12 in. C ≈ 18.84 in. C ≈ 62.8 ft

21. Holt CA Course 1 10-3 Area of Parallelograms Lesson Quiz: Part I Find the area of each figure. 1. 2. 3. 24.5 ft 2 84 ft 2 4. 13 1818 in 2 105 8 or 28 1212 ft 2 57 2 or

22. Holt CA Course 1 10-3 Area of Parallelograms 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 ft 2