Grade 9 Composite Area Worksheet
A worksheet for Grade 9 students focusing on calculating the area of composite shapes, including problems with various geometric figures.
Includes
Standards
Composite Area Practice
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Date:
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Read each question carefully and calculate the area of the composite shapes. Show all your work.
1. Find the area of the following composite shape, which consists of a rectangle and a semicircle. The rectangle has a length of 10 cm and a width of 6 cm. The semicircle is attached to one of the 6 cm sides.
Area: cm²
2. A swimming pool is shaped like a rectangle with dimensions 8 m by 4 m, and a triangle attached to one of the 4 m sides with a height of 3 m. The total area of the swimming pool is m².
3. Calculate the shaded area of the figure below, which is a square with side length 8 inches, and a circle cut out from its center with a radius of 2 inches. Use π ≈ 3.14.
Shaded Area: in²
4. The area of a composite shape is always the sum of the areas of its individual component shapes, even if there are overlapping parts.
True
False
5. A garden is in the shape of a square with side length 12 feet, and a rectangular flower bed of 3 feet by 5 feet is placed within it. What is the remaining area of the garden?
129 sq ft
144 sq ft
159 sq ft
165 sq ft