A trough, shown in the figure, is 64 ft long and its ends have the shape of isosceles triangles whose sides are 2 ft long. {{CMD_1}} {{ENV_2}} {{CMD_3}} Find the length of the base of the two isosceles triangles, marked {{MATH_4}} in the figure, that maximizes the volume. {{CMD_5}} Let V be the volume of the trough. Then V=(Area of the isosceles triangle){{MATH_6}} Let A be the area of the isosceles triangle. {{CMD_7}} {{ENV_8}} {{CMD_9}}