Area of Composite Shapes Worksheet
Calculate the area of various composite shapes, including figures made up of rectangles, triangles, and circles. This worksheet is designed for Grade 10 math students.
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Area of Composite Shapes
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Calculate the area of each composite shape. Show all your work and include appropriate units in your final answer.
1. Find the area of the shape shown below. It consists of a rectangle and a semicircle.
2. Calculate the area of the figure formed by a triangle on top of a square.
3. A rectangular garden measures 12 feet by 8 feet. A circular fountain with a radius of 3 feet is placed in the center. The area of the garden not covered by the fountain is square feet. (Use π ≈ 3.14)
4. A composite shape is made of a square with side length 6 cm and an equilateral triangle attached to one side. What is the total area of the shape?
36 + 9√3 cm²
36 + 6√3 cm²
36 + 18 cm²
45 cm²
5. A shape is composed of a rectangle with dimensions 15 cm by 10 cm, from which a circular hole with a 4 cm diameter has been cut out. Calculate the area of the remaining shape.