A Norman window has the shape of a rectangle surmounted by a

Last updated: 7/20/2022

A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle, labeled x.) If the perimeter of the window is 8 feet, find the exact value of x (in ft) so that the greatest possible amount of light is admitted.