Area of Compound Figures Worksheet
Calculate the area of various compound figures by decomposing them into simpler shapes. Includes a variety of problem types suitable for Grade 7.
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Area of Compound Figures
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Read each question carefully and calculate the area of the compound figures. Show all your work.
1. Find the area of the figure below.
2. A compound figure is made up of a rectangle with length 8 cm and width 4 cm, and a triangle with a base of 4 cm and a height of 6 cm. The total area of the compound figure is square centimeters.
3. Which of the following formulas can be used to find the area of a compound figure made of a semicircle (radius r) on top of a square (side s)?
Area = πr² + s²
Area = (1/2)πr² + s²
Area = 2πr + 4s
Area = (1/2)πr + s²
4. Calculate the area of the shape shown below. All angles are right angles.
5. To find the area of a compound figure, you always add the areas of the individual shapes.
True
False
6. A rectangular garden is 20 feet long and 10 feet wide. A triangular flower bed with a base of 8 feet and a height of 5 feet is cut out from one corner. What is the area of the remaining garden?
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