Area of Combined Shapes Worksheet
Calculate the area of combined geometric shapes, including rectangles, triangles, and circles, at a Grade 7 level.
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Area of Combined Shapes
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Read each question carefully and calculate the area of the combined shapes. Show your work for full credit. Use π ≈ 3.14 for calculations involving circles.
1. Find the area of the shape shown below:
Area:
2. Calculate the area of the figure formed by a rectangle with a semicircle on top. The rectangle has a length of 12 cm and a width of 7 cm. The diameter of the semicircle is equal to the width of the rectangle.
Area:
3. A composite shape is made of a square with side length 6 inches and an equilateral triangle attached to one side. The area of the square is square inches, and the height of the triangle is approximately 5.2 inches, so its area is approximately square inches. The total area of the composite shape is approximately square inches.
4. A rectangular garden measures 10 meters by 8 meters. A circular pond with a radius of 2 meters is in the center of the garden. What is the area of the garden NOT covered by the pond?
80 - 4π square meters
80 - 2π square meters
80 + 4π square meters
80 + 2π square meters
5. A window is shaped like a rectangle with a triangle on top. The rectangle is 4 feet wide and 3 feet high. The triangle has a base of 4 feet and a height of 2 feet. What is the total area of the window?
Area: