Area of Composite Shapes - Grade 11
Calculate the area of composite shapes by decomposing them into simpler geometric figures, including problems involving circles, triangles, rectangles, and trapezoids.
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Area of Composite Shapes
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Carefully read each question and calculate the area of the composite shapes. Show all your work for full credit. Use π ≈ 3.14 where necessary.
1. Find the area of the figure shown below. The figure consists of a rectangle and a semicircle.
Show your work:
2. Determine the area of the shape below, which is composed of a triangle and a square.
Show your work:
3. To find the area of a composite shape, you must first it into simpler geometric figures.
4. The sum of the areas of the individual shapes equals the of the composite shape.
5. A common strategy for complex composite shapes is to subtract the area of any 'missing' parts from a larger, enclosing .
6. Which of the following is NOT typically considered a basic geometric shape for area calculations?
Rectangle
Circle
Parallelepiped
Triangle
7. All composite shapes can be broken down into only rectangles and triangles.
True
False
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