Area of Complex Shapes Worksheet
Calculate the area of various complex shapes by decomposing them into simpler geometric figures.
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Area of Complex Shapes
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Read each question carefully and calculate the area of the complex shapes. Show your work.
1. Find the area of the shape below.
Show your work:
2. A complex shape is made up of a rectangle with a length of 10 cm and a width of 5 cm, and a square with side lengths of 4 cm attached to one of the longer sides of the rectangle. The total area of the complex shape is square centimeters.
3. Calculate the area of the L-shaped figure shown below.
Show your work:
4. A garden is shaped like a rectangle measuring 12 feet by 8 feet with a triangular flower bed attached to one of its shorter sides. The triangle has a base of 8 feet and a height of 5 feet. What is the total area of the garden?
96 square feet
116 square feet
126 square feet
136 square feet
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