Area of Composite Shapes
This worksheet focuses on calculating the area of composite shapes by decomposing them into simpler geometric figures.
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Area of Composite Shapes
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Read each question carefully and calculate the area of the composite shapes. Show your work for full credit.
1. Find the area of the composite shape below, which consists of a rectangle and a semicircle. Use π ≈ 3.14.
2. A shape is composed of a square with side length 6 inches and an equilateral triangle attached to one of its sides. The area of the square is square inches, and the area of the equilateral triangle (to two decimal places) is square inches. The total area of the composite shape is square inches. (Hint: Area of equilateral triangle = (s²√3)/4)
3. Which of the following formulas represents the area of a composite shape made of a rectangle (length L, width W) and a triangle (base B, height H) where the base of the triangle is the width of the rectangle?
A = (L × W) + (B × H)
A = (L × W) + (0.5 × B × H)
A = (L + W) + (B + H)
A = (L × W) - (0.5 × B × H)
4. Calculate the area of the figure shown below, which is a large rectangle with a smaller rectangular cutout. All dimensions are in meters.
5. A composite shape can always be decomposed into at least two simpler shapes (e.g., rectangles, triangles, circles).
True
False