A Norman window has the shape of rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle). If the perimeter of the window is 30 ft, find the dimensions of the window so that the greatest possible amount of light is admitted.

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https://en.wikipedia.org/wiki/Norman_architecture The termNorman architecture is used to categorize styles of Romanesque architecture developed by the Normans in the various lands under their dominion or influence in the 11th and 12th centuries. In particular the term is traditionally used for English Romanesque architecture. The Normans introduced large numbers ofcastles andfortifications including t he nave ofDurham CathedralNormankeeps, and at the same time monasteries, abbeys, churches andcathedrals, in a style characterized by the usual Romanesque roundedarches (particularly over windows and doorways) and especially massive proportions compared to other regional variations of the style. 4. A Norman window has the shape of rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle). If the perimeter of the window is 30 ft, find the dimensions of the window so that the greatest possible amount of light is admitted.
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