Area of Compound Figures Worksheet
This worksheet focuses on calculating the area of compound figures, combining various geometric shapes, suitable for Grade 11 mathematics students.
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Area of Compound Figures
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Calculate the area of each compound figure. Show all your work and round answers to two decimal places where necessary.
1. Find the area of the following figure, which consists of a rectangle and a semicircle.
2. A compound figure is made up of a square with side length 8 cm and an equilateral triangle attached to one of its sides. The area of the square is cm², and the area of the equilateral triangle is approximately cm².
3. A rectangular garden measures 15 meters by 10 meters. A circular pond with a radius of 3 meters is located in the center of the garden. What is the area of the garden NOT covered by the pond?
121.73 m²
141.46 m²
150 m²
178.27 m²
4. A company logo is designed using a large rectangle measuring 20 inches by 12 inches, with a smaller rectangle of 8 inches by 5 inches cut out from its center. What is the area of the logo?
5. The area of a compound figure can always be found by adding the areas of its individual component shapes, regardless of overlaps.
True
False