The figure is made from a rectangle and two sets of semicircles. If the outer perimeter is 100, find the dimensions of the rectangle so that the total area A of the figure is a maximum. Directions: you need to show your work to get full credit, including: setting up a formula for A, using constraints to rewrite it as a function of a single variable, finding the critical point, checking if it is max/min using either the first or second derivative test, making final conclusion on the