Math Problem Statement
A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 3 feet, but the height his yet to be determined. If 26 ft? of glass is to be used, find the height h.
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Algebra
Formulas
Area of a rectangle: A = width * height
Area of a semicircle: A = (1/2) * π * r^2
Total area: A_total = A_rect + A_semi
Theorems
Area calculation for composite shapes
Suitable Grade Level
Grades 9-10
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