A norman window where the semicircle's radius is r (thus the base is 2r) and the height of the rectangle is h. Perimeter is constant, . Show the values r and h are both when the area is a maxiumum.
A norman window where the semicircle's radius is r (thus the base is 2r) and the height of the rectangle is h. Perimeter is constant, . Show the values r and h are both when the area is a maxiumum.
Please use a method not involving derivatives.
and ...
solve for in the perimeter equation and substitute the result for in the area equation ... you should get area as a quadratic function of . locate the vertex (max) using .