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QUESTION
Suppose the window in the previous problem has clear glass in its rectangular part and colored glass in the semicircular part.
Suppose the window in the previous problem has clear glass in its rectangular part and colored glass in the semicircular part. If the colored glass transmits only half as much light per square foot as the clear glass does, what are the dimensions of the window that transmits the most light? (The perimeter is still 100 feet.)
