posted by LittlePanda .
A rectangle is bounded by the x axis and the semicircle = square root 25-x^2. What length and width should the rectangle have so that its area is a maximum?
When I worked the problem out(which is a bit detailed). I started with y = square root 25-x^2 then A = 2x square root 25-x^2. For my answer, I got y = square root 25-25/2 = square root 25/2= 5 square root 2/2. Then A= 5 square root 2 times 5 square root 2/2 =25. But I don't know if my answer 25 is correct.