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

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Presentation transcript:

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 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.

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