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Take out a calculator to try to solve the following problems on area of composite figures. copyright©amberpasillas2010 For Learning to Happen! •Pay close attention to this lesson. •This lesson is very short. •However, this is a challenging lesson! •It is important to follow along with the slides so that you know how to do you know how to calculate the area of composite figures! copyright©amberpasillas2010 To understand COMPOSITE FIGURES you first must know how to calculate missing sides. copyright©amberpasillas2010 What are the missing side lengths? 12 m – 9 m = 3m 9m 6m 3m 12 m copyright©amberpasillas2010 What are the missing side lengths? 6m –3m= 3m 3m 6m 9m 3m 12 m copyright©amberpasillas2010 What are the missing side lengths? 3 ft 10 ft – 7 ft = 3 ft 7 ft 10 ft copyright©amberpasillas2010 What are the missing side lengths? 1 in 5 in + 3 in + 2 in + 1 in = 11 in 2 in 14 in – 11 in = 3 in 3 in 5 in 14 in copyright©amberpasillas2010 There are multiple methods for solving Area of Composite Figures. st The 1 method I am going to show you is how to break it up into simpler area problems. copyright©amberpasillas2010 What is the total shaded area? Area1 A s 2 3 9 3m 6m 2 3m 9m 12 m 3 m Area 2 A bh 12 3 Total Area copyright©amberpasillas2010 36 45 m 2 nd 2 The method involves finding an entire area and then subtracting smaller areas. Pay attention you don’t want to miss this! copyright©amberpasillas2010 What is the total shaded area? 3m Area1 3m 6m 9m 12 m = l·w 6 12 72 m2 3 m Area 2 = l · w 2 9 3 27 m = Total Area copyright©amberpasillas2010 45 m2 Find the perimeter of the figure below. 10 8 Perimeter 4 4 8 6 8 +16 +8 +10 +4 +6 +4 = 56 UNITS 16 16 – 6 = 10 copyright©amberpasillas2010 Find the area of the figure below. Area 10 Area1 l w 4 8 4 6 16 8 - 16 · 8 = 128 un Area 2 l w = Total Area copyright©amberpasillas2010 6 · 4 = 24 un 2 2 = 104 un 2 Find the area of the figure below. 12- 5 = 7ft Subtract the area of the triangle from the area of the rectangle. Area of the rectangle: A = bh A = 12 • 9= 108 9 ft 5 ft 6 ft 12 ft Area of the triangle: 1 __ A = bh 2 1 ft2 A = __ • (6)(7) 2 1 __ A= • 42 = 2 copyright©amberpasillas2010 21 ft2 Find the area of the figure below. 12- 5 = 7ft Shaded area= Area of the rectangle – Area of the triangle A= 9 ft 108 – 21 = 87 ft2 Area of the rectangle: A = bh A = 12 • 9= 108 5 ft 6 ft 12 ft Area of the triangle: 1 __ A = bh 2 1 ft2 A = __ • (6)(7) 2 1 __ A= • 42 = 2 copyright©amberpasillas2010 21 ft2 THE END!!! Take out your study guide! copyright©amberpasillas2010 #10 Area 20 m 13 m 5m 12 m 25m Perimeter Area1 = l · w 2 20 12 240 m + b h Area 2 2 5 12 30 m2 P = 12 + 20 + 13 + 25 2 2 P = 70 m Total Area 270 m = ANOTHER WAY: Area of a Trapezoid A = (b1 + b2) x h 2 12(25 20) 2 copyright©amberpasillas2010 270m 2