1. Area of Composite Shapes We are learning to…find the area of composite shapes (shapes made up of more than one figure). Tuesday, August 25, 2015

2. Area of Composite Shapes Review of Important Area Formulas Area of a Rectangle: COPY NOTES A = b(h) CORNELL STYLE NOTES! 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

3. 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 COPY NOTES CORNELL STYLE NOTES!

4. 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 COPY NOTES CORNELL STYLE NOTES!

5. 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

6. 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 http://www.virtualnerd.com/pre-algebra/perimeter-area- volume/perimeter-and-area/area-formulas-examples/composite- figure-area