Holt CA Course Area of Parallelograms Warm Up California Standards Lesson PresentationPreview

Holt CA Course Area of Parallelograms Warm Up Find each product     or

Holt CA Course 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

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

Holt CA Course Area of Parallelograms Vocabulary area base height

Holt CA Course 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

Holt CA Course Area of Parallelograms

Holt CA Course 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.

Holt CA Course 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

Holt CA Course 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.

Holt CA Course Area of Parallelograms Find the area of the rectangle. 6.3 in. 8.2 in. The area of the rectangle is in 2. Check It Out! Example 4

Holt CA Course 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.

Holt CA Course 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.

Holt CA Course 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

Holt CA Course 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

Holt CA Course 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

Holt CA Course 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.

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Holt CA Course Area of Parallelograms Lesson Quiz: Part I Find each perimeter 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 __

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

Holt CA Course Area of Parallelograms Lesson Quiz: Part I Find the area of each figure ft 2 84 ft in or ft or

Holt CA Course 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