Area of Complex Figures Worksheet
Calculate the area of various complex figures by decomposing them into simpler shapes. Includes rectangles, triangles, and composite figures.
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Area of Complex Figures
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Read each question carefully and calculate the area of the complex figures. Show your work.
1. Find the area of the figure below. All angles are right angles.
Area: cm²
2. Calculate the area of the L-shaped figure shown below. All angles are right angles.
Area: m²
3. A composite figure is made up of a rectangle with a length of 12 inches and a width of 5 inches, and a triangle with a base of 12 inches and a height of 4 inches. The total area of the composite figure is square inches.
4. Which of the following formulas is used to find the area of a triangle?
Area = length × width
Area = π × radius²
Area = ½ × base × height
Area = 2 × (length + width)
5. A garden is shaped like a rectangle measuring 15 feet by 8 feet, with a triangular flower bed attached to one of the 8-foot sides. The triangle has a base of 8 feet and a height of 6 feet. What is the total area of the garden?
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