The figure above shows a rectangle inscribed in a semicircle with a radius of 20. The area of such a rectangle is given by 1 (x) = 2x400 - where the width of the rectangle is 2x. It can be shown that A' () +2J400 – 32 and A has critical values of -20, -10/2, 10/2, and 20. It can also be shown that A' (z) changes from positive to negative at = = 10/2. Which of the following statements is true?
000
The inscribed rectangle with maximum area has dimensions 102 by 102
B
The inscribed rectangle with minimum area has dimensions 102 by 102.
с
The inscribed rectangle with maximum area has dimensions 202 by 102
D
The inscribed rectangle with minimum area has dimensions 202 by 10/2