Area of Compound Figures
Calculate the area of various compound figures by decomposing them into simpler shapes.
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Area of Compound Figures Worksheet
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Read each question carefully. Decompose the compound figures into simpler shapes (rectangles, triangles) to find their total area. Show your work.
1. Find the area of the compound figure below.
Show your work:
2. Calculate the total area of the figure.
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3. To find the area of a compound figure, you should first the figure into simpler shapes.
4. The area of a rectangle is calculated by multiplying its by its .
5. Which of the following is NOT a common simple shape used to decompose compound figures?
Square
Circle
Triangle
Rectangle
6. A room has the shape of a large rectangle with a smaller rectangular section removed from one corner. If the large rectangle is 10 feet by 12 feet, and the removed section is 3 feet by 4 feet, what is the area of the room?