Composite Area Practice
A Grade 10 math worksheet focusing on calculating the composite area of various geometric figures, including problems involving circles, rectangles, and triangles.
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Composite Area Practice
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Read each question carefully and calculate the composite area of the given figures. Show all your work.
1. Calculate the area of the figure below, 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.
2. A composite shape is made up of a square with side length 8 meters and an equilateral triangle attached to one of its sides. Find the total area of the composite shape.
3. A rectangular garden has dimensions 12 feet by 8 feet. A circular pond with a radius of 3 feet is located in the center of the garden. What is the area of the garden NOT covered by the pond? (Use π ≈ 3.14)
65.74 sq ft
87.74 sq ft
96 sq ft
124.26 sq ft
4. To find the area of a composite figure, you typically the areas of its simpler shapes or the area of a removed shape from a larger one.
5. The area of a figure formed by a rectangle with a triangle removed from one side can be found by adding the area of the rectangle and the area of the triangle.
True
False
6. A metal plate is shaped like a large rectangle with dimensions 20 cm by 15 cm. Two identical square holes, each with side length 3 cm, are cut out from the plate. What is the area of the remaining metal plate?