Martin wants to make a heart shaped card for his valentine. Martin is in Geometry and loves constructing geometric shapes, so he decides to make his heart using two semicircles and one equilateral triangle. The semicircles are tangent to each other and their diameters lie along one edge of the equilateral triangle. If Martin has a sheet of 8” by 10” construction paper and cuts the heart out as shown, what is the area of the heart? Express your answer to the nearest square inch.
