5 Minute Check Find the area. Complete on the back of your homework. 1. 2. 3. 4.

5 Minute Check Find the area. Complete on the back of your homework. 1.

5 Minute Check Find the area. Complete on the back of your homework. 1. A = 2u · 6u = 12u²

5 Minute Check Find the area. Complete on the back of your homework. 2. A = 11.25 ·15.6 2 = 175.5 2 =87.75𝑚²

5 Minute Check Find the area. Complete on the back of your homework. 2. A = 11.25 ·15.6 2 = 175.5 2 =87.75𝑚²

5 Minute Check Find the area. Complete on the back of your homework. 3.

3. A = 10ft · 5ft = 50ft² 5 Minute Check Find the area. Complete on the back of your homework. 3. A = 10ft · 5ft = 50ft²

5 Minute Check Find the area. Complete on the back of your homework. 4.

5 Minute Check Find the area. Complete on the back of your homework. 4. A= 41.5 · 36 2 = 1494 2 =747

Chapter 6.9.6 Areas of Composite Figures Monday, March 9 Chapter 6.9.6 Areas of Composite Figures

Areas of Composite Figures Objective: To find areas of composite figures.

Area of Composite Figures A composite figure is made up of two or more rectangles, paraellelograms and/or triangles.

Area of Composite Figures Find the area of the figure. Can we divide the figure into a combination of rectangles and triangles?

Area of Composite Figures Find the area of the figure. Can we find the length of the base of the triangle? ?

Area of Composite Figures Find the area of the figure. Can we find the length of the base of the triangle? 12 – 5 = 7 7 in

Area of Composite Figures Find the area of the figure. What is the area of the rectangle? 7 in

Area of Composite Figures Find the area of the figure. What is the area of the rectangle? 5 · 7 = 35 in² What is the area of the triangle? 7 in

Area of Composite Figures Find the area of the figure. What is the area of the rectangle? 5 · 7 = 35 in² What is the area of the triangle? 7 · 7 ÷ 2 = 24.5 in² 7 in

Area of Composite Figures Find the area of the figure. What is the total area of the figure? 7 in

Area of Composite Figures Find the area of the figure. What is the total area of the figure? 35 in² + 24.5 in² = 49.5 in² 7 in

Area of Composite Figures Find the area of the figure. Do this on your own.

Area of Composite Figures Find the area of the figure. Rectangle 2.5 · 4 = 10 m² Triangle 4 · 2.3 ÷ 2 = 4.6 m² Total Figure 10 m² + 4.6 m² = 14.6 m² 2.3 m

Area of Composite Figures Find the area of the figure. Do this on your own.

Area of Composite Figures Find the area of the figure. Rectangle 6 · 10 = 60 in² Triangle 4 · 4 ÷ 2 = 8 in² Total Figure 60 in² + 8 in² = 68 in² 4 in

Area of Composite Figures Find the area of the figure. Do this on your own. 4 in

Area of Composite Figures Find the area of the figure. Parallelogram 8 · 11 = 88 cm² Triangle 3 · 8 ÷ 2 = 12 cm² Total Figure 88 cm² + 12 cm²= 100 cm² 4 in 3 cm

Area of Composite Figures Find the area of the figure. Do this on your own. 4 in

Area of Composite Figures Find the area of the figure. Rectangle 4 · 12 = 48 ft² Triangle 4 · 6 ÷ 2 = 12 ft² Total Figure 48 ft² + 12 ft² = 60 ft² 6 ft 4 in 4 ft

Area of Composite Figures Find the area of the figure. Do this on your own. 4 in

Area of Composite Figures Find the area of the figure. Rectangle 7 · 10 = 70 m² Triangle 2 · 3 ÷ 2 = 3 m² Total Figure 70 m² - 3 m² = 67 m² 2 m 3 m 4 in

Area of Composite Figures Find the area of the figure. Do this on your own.

Area of Composite Figures Find the area of the figure. Parallelogram 8 · 6 = 48 m² Triangle 5 · 8 ÷ 2 = 20 m² Total Figure 48 m² + 20 m²= 68 m² 5 m

Area of Composite Figures Find the approximate area of Osceola County, Florida . Do this on your own.

Area of Composite Figures Find the approximate area of Osceola County, Florida . Rectangle 51 · 16 = 816 mi² Triangle 51 · 32 ÷ 2 = 816 mi² Total Figure 816 mi² + 816 mi² = 1632 mi² 32 mi

Area of Composite Figures Find the area of the figure. To find the area of overlapping figures, add the areas of the figures if they were not overlapped and then subtract the overlapped area.

Area of Composite Figures Find the area of the figure. What is the area of the square?

Area of Composite Figures Find the area of the figure. What is the area of the square? A = 12 ·12 = 144cm²

Area of Composite Figures Find the area of the figure. A = 12 ·12 = 144cm² What is the area of the rectangle?

Area of Composite Figures Find the area of the figure. A = 12 ·12 = 144cm² What is the area of the rectangle? A = 12 ·15 = 180cm²

Area of Composite Figures Find the area of the figure. A = 12 ·12 = 144cm² A = 12 ·15 = 180cm² What is the area of both figures?

Area of Composite Figures Find the area of the figure. A = 12 ·12 = 144cm² A = 12 ·15 = 180cm² What is the area of both figures? 144cm²+180cm²=324cm²

Area of Composite Figures Find the area of the figure. A = 324cm² What is the area of the overlapped area?

Area of Composite Figures Find the area of the figure. A = 324cm² What is the area of the overlapped area? A = 7 · 6 = 42cm² What is the total area? 6 cm 7 cm

Area of Composite Figures Find the area of the figure. A = 324cm² A = 7 · 6 =42cm² What is the total area? 324cm² - 42cm² = 282cm²

Area of Composite Figures Find the area of the figure. Do this on your own.

Area of Composite Figures Find the area of the figure. Area of the top rectangle A = 6 ·7 =42ft² Area of the bottom rectangle. A = 6 ·8 = 48ft² Overlapped area. A = 5 ·5 = 25ft² Total area is 42ft² + 48ft² - 25ft² = 65ft²

Area of Composite Figures The picture shows one side a storage barn. What is the area of this side?

Area of Composite Figures The picture shows one side a storage barn. What is the area of this side? Area of the rectangle A = 14.5 · 22.8 = 330.6 ft² Area of the triangle A = 22.8(26.5−14.5 ) 2 =136.8 ft² Total area A = 330.6 ft² + 136.8 ft² = 467.4 ft²

Area of Composite Figures Find the area of the figure.

Area of Composite Figures Find the area of the figure. Rectangle 9 · 15 = 135 u² Top Triangle 6 · 9 ÷ 2 = 27 u² Bottom Triangle 6 · 3 ÷ 2 = 9 u² Total Figure 135 u² +27 u² - 9 u² = 153 u² 9 3

PARCC 1 1. Dan buys a rug with an area of 49 6 square yards. The length is 7 3 yards. What is the width of the rug in yards?

PARCC 1 1. Dan buys a rug with an area of 49 6 square yards. The length is 7 3 yards. What is the width of the rug in yards? A = lw 49 6 = 7 3 · w 49 6 · 3 7 = 7 3 · w · 3 7 7 2 = w

PARCC 1 1. Dan buys a rug with an area of 49 6 square yards. The length is 7 3 yards. What is the width of the rug in yards? A = lw 7 3 · 𝑛 𝑑 = 49 6 7 2 = w

PARCC 3 3. 33.8 ÷ 32.5 =

PARCC 3 3. 33.8 ÷ 32.5 = 1.04 1.04 325 )338.00 -325 1300 -1300 0

Area of Composite Figures Agenda Notes Complete Mid-Chapter Check on page 696. Omit Questions 7 & 8 Bring to desk when complete. Homework– Homework Practice 6.9.6 Due Tuesday, March 10 Mid-Chapter 6.9 Quiz –Tuesday, March 10