Area of Composite Shapes
 In this practice set, you will find the area of composite shapes. A composite shape is one in which you need to apply two or more area formulas to solve. An example of a composite shape is shown. This shape is composed of one and two . rectangles ? triangle ?  Formulas: Triangle: A = (b • h) ÷ 2 Rectangle: A = b • h Square: A = s2 or s • s Parallelogram: A = b • h Trapezoid: A = (b1 + b2 ) • h 2 Fill in the area of eachshape and the total area. Total Area  Formulas: Triangle: A = (b • h) ÷ 2 Rectangle: A = b • h Square: A = s2 or s • s Parallelogram: A = b • h Trapezoid: A = (b1 + b2 ) • h 2 mi2 What is the area of this composite shape? mi2 30 mi2 24 mi2 28 mi2 40 mi2  For this problem, first label each missing dimension. Then drag up the correct area formula.Finally, enter the area. Total Area = cm2 Triangle: Atriangle = Rectangle: Arectangle = A=½bh ? A=LW ? Drag the correct area formula and enter the area of each piece. Then find the total area. Rect2 Rectangle 1 Triangle Arectangle 1 = Total Area = cm2 Atriangle = Rectangle: Arectangle 2 = Triangle: A=½bh ? A=LW ?  Formulas: Triangle: A = (b • h) ÷ 2 Rectangle: A = b • h Square: A = s2 or s • s Parallelogram: A = b • h Trapezoid: A = (b1 + b2 ) • h 2  For this problem, first label the missing dimension. Then drag up the correct area formula.Finally, enter the area. 13 in ? Total Area = in2 Arectangle = Triangle: Atriangle = Rectangle: A=½bh ? A=LW ? in2 in2  Sometimes, to determine the area of a composite shape, subtraction is an effective approach. Follow the prompts and answer each question to find the area of this green shaded region of this composite shape. Trapezoid: Shaded Region: A = m2 Trapezoid: Trapezoid: Circle: A = m2 Circle: Circle: A = ( )2 A = π • r2 ? A=½ ( + 15) 78.5 ? A = m2 A=½h(b1 + b2) ? 3.14 ? 14 ? 196 ? 5 ? 13 ? 117.5 ?  Formulas: Triangle: A = (b • h) ÷ 2 Rectangle: A = b • h Square: A = s2 or s • s Parallelogram: A = b • h Trapezoid: A = (b1 + b2 ) • h 2 39 in2 50 in2 41 in2 60 in2  Formulas: Triangle: A = (b • h) ÷ 2 Rectangle: A = b • h Square: A = s2 or s • s Parallelogram: A = b • h Trapezoid: A = (b1 + b2 ) • h 2 What is the area of the composite shape? 196 in2 112 in2 42 in2 124 in2  |
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