5 Minute Check Complete on the back of your homework. Find the perimeter of each figure. 1. A(3,3),B(3,5),C(7,5),D(7,3) 2. P(3,0),R(6,0),Q(6,7),S(3,7) Graph and find the area of each figure. 3. K(-2,2),L(3,2),M(2,-2),N(-3,-2) 4. Q(-2,4),R(0,-2),S(-4,-2)
Find the perimeter of each figure. 1. A(3,3),B(3,5),C(7,5),D(7,3) 5 Minute Check Find the perimeter of each figure. 1. A(3,3),B(3,5),C(7,5),D(7,3)
Find the perimeter of each figure. 1. A(3,3),B(3,5),C(7,5),D(7,3) 5 Minute Check Find the perimeter of each figure. 1. A(3,3),B(3,5),C(7,5),D(7,3) AB = I3- 5I = I-2I = 2 BC = I3 – 7I = I -4I = 4 CD = I5 – 3I = I 2I = 2 DA = I7– 3I = I4I = 4 4 + 4 + 2 + 2 =12u
Find the perimeter of each figure. 2. P(3,0),R(6,0),Q(6,7),S(3,7) 5 Minute Check Find the perimeter of each figure. 2. P(3,0),R(6,0),Q(6,7),S(3,7)
Find the perimeter of each figure. 2. P(3,0),R(6,0),Q(6,7),S(3,7) 5 Minute Check Find the perimeter of each figure. 2. P(3,0),R(6,0),Q(6,7),S(3,7) PR = I3- 6I = I-3I = 3 RQ = I0 – 7I = I -7I = 7 QS = I6 – 3I = I 3I = 3 SP = I7– 0I = I7I = 7 7 + 3 + 7 + 3 =20u
5 Minute Check Graph and find the area of each figure. 3. K(-2,2),L(3,2),M(2,-2),N(-3,-2)
5 Minute Check Graph and find the area of each figure. 3. K(-2,2),L(3,2),M(2,-2),N(-3,-2) A = 5 x 4 = 20u²
Graph and find the area of each figure. 4. Q(-2,4),R(0,-2),S(-4,-2) 5 Minute Check Graph and find the area of each figure. 4. Q(-2,4),R(0,-2),S(-4,-2)
5 Minute Check Graph and find the area of each figure. 4. Q(-2,4),R(0,-2),S(-4,-2) A = 4 x 6 ÷ 2 = 12u²
Flashcards
Chapter 9.6 Area of Composite Figures Tuesday, Feb 11 Chapter 9.6 Area of Composite Figures
Area of Composite Figures Objective: To find the area of composite figures.
Area of Composite Figures At the end of this lesson you should be able to answer the following question. How do you decompose figures to find the area?
Area of Composite Figures A composite figure is made up of two or more two-dimensional figures.
Area of Composite Figures Can we find the exact area of the polygon below?
Area of Composite Figures Can we find the exact area of the polygon below? What if we divided the polygon into two figures we know? What is the bottom figure?
Area of Composite Figures Can we find the exact area of the polygon below? What if we divided the polygon into two figures we know? What is the bottom figure? A rectangle. What is the top figure?
Area of Composite Figures Can we find the exact area of the polygon below? What if we divided the polygon into two figures we know? What is the bottom figure? A rectangle. What is the top figure? A trapezoid. What is the area of each figure?
Area of Composite Figures Can we find the exact area of the polygon below? What is the area of each figure? A = bh = 5 · 2 = 10u² A = ℎ(𝑏₁+𝑏₂) 2 = 2(4+3) 2 = 2(7) 2 = 14 2 = 7u² The area of the figure is 10 + 7 = 17u²
Area of Composite Figures Find the area of the figure below. Can we divide the figure into two known figures?
Area of Composite Figures Find the area of the figure below. Can we divide the figure into two known figures? What is the area of each figure?
Area of Composite Figures Find the area of the figure below. Can we divide the figure into two known figures? A = 10 · 6 A = 4·4 2 = 60in² = 16 2 = 8in² The area of the original figure is 60in² + 8in² = 68in²
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 Area A = 12 · 4 = 48ft² Triangle Area A = 4 ·6 2 = 24 2 = 12ft² 48ft² + 12ft² = 60ft²
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 Area A = 7 · 7 = 49m² Trapezoid Area A = 3(7+5) 2 = 3(12) 2 = 36 2 =18m² 49m² + 18m² = 67m²
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. What is the area of the square? A = 12 ·12 =144cm² rectangle?
Area of Composite Figures Find the area of the figure. What is the area of the square? A = 12 ·12 =144cm² rectangle? A = 12 ·15 = 180cm² What is the area of both figures?
Area of Composite Figures Find the area of the figure. What is the area of the square? A = 12 ·12 =144cm² rectangle? A = 12 ·15 = 180cm² What is the area of both figures? 144cm²+180cm²=324cm²
Area of Composite Figures Find the area of the figure. What is the area of the overlapped area? What is the area of both figures? 144cm²+180cm²=324cm²
Area of Composite Figures Find the area of the figure. What is the area of the overlapped area? A = 7 ·6 =42cm² What is the area of both figures? 144cm²+180cm²=324cm² What is the total area?
Area of Composite Figures Find the area of the figure. What is the area of the overlapped area? A = 7 ·6 =42cm² What is the area of both figures? 144cm²+180cm²=324cm² 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
Polygons on the Coordinate Plane Agenda Notes Homework– Homework Practice 9-6 Due Wednesday, Feb 12 Chapter 9 Test–Thursday, Feb 13