Area of Combined Shapes Worksheet
Calculate the area of various combined geometric shapes, including rectangles, triangles, and circles, for grade 6 math students.
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Area of Combined Shapes
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Read each question carefully and calculate the area of the combined shapes. Show your work for full credit. Remember that the area of a rectangle is length × width, and the area of a triangle is (1/2) × base × height.
1. Find the total area of the shape below. (All angles are right angles.)
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2. Calculate the area of the figure.
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3. A rectangular garden measures 12 meters by 8 meters. A circular pond with a radius of 2 meters is in the center of the garden. The area of the garden not covered by the pond is square meters. (Use π ≈ 3.14)
4. A composite shape is made of a square with sides of 6 cm and a semi-circle attached to one of its sides. What is the total area of this shape?
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5. Which formula would you use to find the area of a shape made of a rectangle and two identical triangles?
Area = (length × width) + (base × height)
Area = (length × width) + 2 × (1/2 × base × height)
Area = (length + width) × (base + height)
Area = (length × width) - (base × height)