3. Three line segments of length 1 are joined together at endpoints to form a base and the legs of an isosceles trapezoid, as in Figure 3. Let 0 in (0, /2) be the common angle measurement between the legs and the line passing through the base of length 1. We want to find the angle 6 that maximizes the area of the trapezoid. 1 1 1 Figure 3: An isosceles trapezoid with base and legs of length 1. (a) Compute the area A(0) of the trapezoid. The general area formula for a trapezoid ish(b +b2), where h is the height and b and b are the lengths of the bases. (Hint: Break up the trapezoid into a rectangle with two right triangles at both ends. Use trigonometry to compute the height and the length of the longer base in terms of 6.) (b) Find all solutions to A'(0) = 0 with 0