Area of Complex Shapes Worksheet
Calculate the area of various complex shapes by decomposing them into simpler geometric figures.
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Area of Complex Shapes
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Read each question carefully and calculate the area of the complex shapes. Show all your work.
1. Find the area of the shape below.
Area:
2. Calculate the area of the L-shaped figure.
Area:
3. To find the area of a complex shape, you can it into simpler shapes like rectangles and triangles.
4. A composite figure is made up of a rectangle with dimensions 12ft by 8ft, and a triangle with a base of 8ft and a height of 5ft. What is the total area of the composite figure?
5. Which of the following is NOT a common method to find the area of a complex shape?
Decomposition
Addition method
Subtraction method
Multiplication method
6. A rectangular garden is 15 meters long and 10 meters wide. A circular flower bed with a radius of 3 meters is in the center of the garden. What is the area of the garden NOT covered by the flower bed? (Use π = 3.14)
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