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Area of Composite Shapes

Area of Composite Shapes. We are learning to…find the area of composite shapes (shapes made up of more than one figure). Tuesday, April 1, 2014. 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:

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Area of Composite Shapes

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  1. Area of Composite Shapes We are learning to…find the area of composite shapes (shapes made up of more than one figure). Tuesday, April 1, 2014

  2. Area of Composite ShapesReview of Important Area Formulas • Area of a Rectangle: • A = b(h) • Area of a Triangle: • A = ½(b)(h) • Area of a Circle: • A = πr2 • Area of a Parallelogram: • A = b(h) • Area of a Trapezoid: • A = ½(b1 + b2)h

  3. 4 feet 10 feet Area of Composite ShapesExample #1: Find the area of the composite shape below. Plan: + Area of ½ Circle Area of a Rectangle + ½ πr2 l(w) + ½ π(2)2 4(10) 4(10) + ½ π(4) Diameter = 4 feet 40 + ½ π(4) Radius = 2 feet 40 + (1.57)(4) 40 + 6.28 46.28 square feet

  4. 4 cm Area of Composite ShapesExample #2: Find the area of the shaded region. Plan: - Area of Circle Area of a Square - πr2 l(w) 4 cm - π(2)2 4(4) 4 cm 4(4) - π(4) 16 - π(4) 16 - 12.56 4 cm 3.44 square cm

  5. 6 in 4 in 5 in 12 in Area of Composite ShapesExample #3: Find the area of the shaded region. Plan: - Area of a Triangle Area of a Trapezoid - ½(b)(h) ½(b1 + b2)(h) - ½(6)(4) ½(6 + 12)(4) ½(18)(4) - ½(6)(4) 36 - ½(6)(4) 36 - 12 24 square inches

  6. 15 ft 8 ft 10 ft 6 ft Area of Composite ShapesExample #4: Find the area of the shaded region. Plan: - Area of a Circle Area of a Trapezoid - πr2 ½(b1 + b2)(h) - π(4)2 ½(6 + 15)(8) ½(21)(8) - π(4)2 ½(21)(8) - π(16) 84 - π(16) 84 – 50.24 33.76 square feet

  7. 9 inches 18 in 11 inches 5 in Area of Composite ShapesExample #5: Find the area of the polygon below. Plan: Area of a Rectangle + Area of a Rectangle + lw l(w) 18 – 5 = 13 inches + 5(20) 9(13) 117 + 5(20) 117 + 100 217 Square inches 9 + 11 = 20 inches

  8. 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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