1.a Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. fIND THE DIMENSION OF A nORMAN WINDOW of maximum area if the total perimeter is 16 feet.
2. Find the dimension of the trapezoid of greatest area that can be inscribed in a semicircle of radius r.
3. Find the dimension of the largest isosceles triangle that can be inscribed in a circle of radius of 4.
Can someone help me solve these problems? I'm really stuck right now. Thanx.