1. Warm Up Lesson Presentation Problem of the Day Lesson Quizzes

2. Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60 in. 54 cm

3. Problem of the Day Two wibbles equal four wabbles, and eight wabbles equal two bibbles. If a square has a perimeter of 16 wibbles, what is its area in square bibbles? 4 square bibbles

4. MA.6.A.3.4 Solve problems given a formula. Also MA.6.A.4.2 Sunshine State Standards

5. Vocabulary area

6. The area of a figure is the amount of surface it covers. We measure area in square units.

7. Additional Example 1: Estimating the Area of an Irregular Figure Estimate the area of the figure. Count full squares: 19 red squares. Count almost-full squares: 9 blue squares. Count squares that are about half-full: 4 green squares = 2 full squares. Do not count almost empty yellow squares. Add. 19 + 9 + 2 = 30 The area of the figure is about 30 mi . 2

8. Check It Out: Example 1 Estimate the area of the figure. Count full squares: 11 red squares. Count almost-full squares: 5 green squares. Count squares that are about half-full: 4 blue squares = 2 full squares. Do not count almost empty yellow squares. Add. 11 + 5 + 2 = 18 = mi 2 The area of the figure is about 18 mi 2 .

10. Additional Example 2: Finding the Area of a Rectangle Find the area of the figure. Write the formula. Substitute 15 for l and 9 for w . Multiply. 15 in. 9 in. A = l w A = 15 • 9 A = 135 The area is about 135 in 2 .

11. Check It Out: Example 2 Find the area of the figure. Write the formula. Substitute 13 for l and 7 for w . Multiply. The area is about 91 in 2 . 13 in. 7 in. A = l w A = 13 • 7 A = 91

12. You can use the formula for the area of a rectangle to write a formula for the area of a parallelogram. Imagine cutting off the triangle drawn in the parallelogram and sliding it to the right to form a rectangle. The area of a parallelogram = b h . The area of a rectangle = l w . The base of the parallelogram is the length of the rectangle. The height of the parallelogram is the width of the rectangle.

13. Additional Example 3: Finding the Area of a Parallelogram Find the area of the parallelogram. Write the formula. Multiply. 2 ft 1 2 1 4 1 ft A = b h A = 2 • 1 1 2 __ 1 4 __ Substitute 2 for b and 1 for h . 1 2 __ 1 4 __ A = • 5 2 __ 5 4 __ A = or 3 25 8 ___ 1 8 __ The area is 3 ft 2 . 1 8 __

14. Check It Out: Example 3 Find the area of the parallelogram. Write the formula. Multiply. A = b h A = 1 • 3 1 2 __ 1 2 __ Substitute 1 for b and 3 for h . 1 2 __ 1 2 __ A = • 3 2 __ 7 2 __ A = or 5 21 4 ___ 1 4 __ The area is 5 ft 2 . 1 4 __ 1 1 ft 2 1 3 ft 2

15. Additional Example 4: Recreation Application Jessika is going to tile a kitchen that measures 13 ft by 17 ft. Some floor space is taken up by an island that measures 3 ft by 6 ft. How much area remains to be tiled in the kitchen? Substitute for l and w in A = lw. Use the order of operations. floor area kitchen area to be tiled island – = (13 • 17) (3 • 6) n – = The area of the kitchen to be tiled is 203 ft 2 . To find the area to be tiled, subtract the area of the island from the area of the floor. 221 – 18 = 203

16. Check It Out: Example 4 Miguel is going to landscape his backyard that measures 16 ft by 11 ft. Some of the backyard space is taken up by a built-in BBQ that measures 2 ft by 4 ft. How much area remains to be landscaped? Substitute for l and w in A = lw. Use the order of operations. backyard area landscaped area BBQ – = (16 • 11) (2 • 4) n – = The area of the backyard to be landscaped is 168 ft 2 . To find the landscaped area, subtract the area of the BBQ from the area of the backyard. 176 – 8 = 168

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

18. Lesson Quiz Find the area of each figure. 1. 2. 3. What is the area of a parallelogram with base 16 in. and height 10 in.? 4. A square fish pond that is 6 ft long is surrounded by a square walk that is 18 ft long. What is the area covered by the walk? 41.4 m 2 48 ft 2 160 in 2 288 ft 2

19. 1. Find the area of the figure. A. 53.9 m 2 B. 53.9 m 2 C. 54.6 m 2 D. 54.9 m 2 Lesson Quiz for Student Response Systems

20. 2. Find the area of the figure. A. 60 ft 2 B. 70 ft 2 C. 80 ft 2 D. 90 ft 2 Lesson Quiz for Student Response Systems

21. 3. Find the area of a parallelogram with base 19 ft and height 11 ft. A. 209 ft 2 B. 214 ft 2 C. 216 ft 2 D. 220 ft 2 Lesson Quiz for Student Response Systems