Area of Combined Shapes Worksheet
Calculate the area of various combined geometric shapes, including rectangles, triangles, and circles, at a Grade 8 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 all your work.
1. Find the area of the figure below. Assume all angles are right angles.
2. Calculate the area of the shape shown, which is a rectangle with a triangle on top.
3. A semi-circle is attached to one side of a square. If the side length of the square is 6 cm, what is the total area of the combined shape? Use π ≈ 3.14.
4. A rectangular garden measures 12 feet by 8 feet. A circular fountain with a radius of 2 feet is placed in the center. What is the area of the garden NOT covered by the fountain? Use π ≈ 3.14.
85.44 sq ft
90.24 sq ft
96 sq ft
108.56 sq ft
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. Find the total area of the window.