Area of Composite Shapes Worksheet
Calculate the area of various composite shapes by decomposing them into simpler geometric figures. This worksheet covers rectangles, triangles, and circles.
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Area of Composite Shapes
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Read each question carefully and calculate the area of the composite shapes. Show your work for full credit. Use π ≈ 3.14 for calculations involving circles.
1. Calculate the area of the composite shape shown below. It consists of a rectangle and a triangle.
Show your work:
2. Find the area of the shape which is a square with a semi-circle on top.
Show your work:
3. To find the area of a composite shape, you can it into simpler shapes like rectangles, triangles, or circles.
4. The area of a composite shape is the of the areas of its individual parts.
5. A composite shape is made of a rectangle with length 12 cm and width 5 cm, and a triangle with base 5 cm and height 6 cm. What is the total area of the composite shape?
30 cm²
60 cm²
75 cm²
85 cm²
6. A rectangular garden measures 20 feet by 15 feet. There is a circular pond with a radius of 5 feet in the center of the garden. Calculate the area of the garden NOT covered by the pond.
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