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Area of Composite Shapes We are learning to…find the area of composite shapes (shapes made up of more than one figure). Monday, September 07, 2015

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Area of Composite Shapes Review of Important Area Formulas Area of a Rectangle: A = b(h) Area of a Triangle: A = ½(b)(h) Area of a Circle: A = π r 2 Area of a Parallelogram: A = b(h) Area of a Trapezoid: A = ½(b 1 + b 2 )h

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Area of Composite Shapes Example #1: Find the area of the composite shape below. 10 feet 4 feet Plan: Area of a Rectangle + Area of ½ Circle l(w) + ½ π r 2 4(10) + ½ π (2) 2 Diameter = 4 feet Radius = 2 feet 4(10) + ½ π (4) 40 + ½ π (4) 40 + (1.57)(4) 40 + 6.28 46.28 square feet

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Area of Composite Shapes Example #2: Find the area of the shaded region. Plan: Area of a Square - Area of Circle l(w) - π r 2 4(4) - π (2) 2 4(4) - π (4) 16 - π (4) 16 - 12.56 3.44 square cm 4 cm

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Area of Composite Shapes Example #3: Find the area of the shaded region. Plan: Area of a Trapezoid - Area of a Triangle ½(b 1 + b 2 )(h) - ½(b)(h) ½(18)(4) - ½(6)(4) 6 in 5 in 4 in 12 in ½(6 + 12)(4) - ½(6)(4) 36 - ½(6)(4) 36 - 12 24 square inches

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Area of Composite Shapes Example #4: Find the area of the shaded region. Plan: Area of a Trapezoid - Area of a Circle ½(b 1 + b 2 )(h) - π r 2 ½(21)(8) - π (4) 2 ½(6 + 15)(8) - π (4) 2 ½(21)(8) - π (16) 84 - π (16) 33.76 square feet 8 ft 15 ft 6 ft 10 ft 84 – 50.24

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Area of Composite Shapes Example #5: Find the area of the polygon below. Plan: Area of a Rectangle + Area of a Rectangle l(w) + lw 117 + 5(20) 9(13) + 5(20) 117 + 100 217 Square inches 18 in 5 in 11 inches 9 inches 18 – 5 = 13 inches 9 + 11 = 20 inches

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Individual Practice Try the last example with your team! When you are done raise your hand and show your teacher the solution.

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