The figure shows a parallelogram inside a rectangle outline:A parallelogram is shown within a rectangle. The length of the rectangle is 1 over 2 foot and the width of the rectangle is 1 over 3 foot. The two equal bases of the triangles outside the parallelogram are labeled 1 over 6 foot.What is the area of the parallelogram?A. 1 over 9 square footB. 1 over 6 square footC. 1 over 5 square footD. 1 over 3 square foot

Answer:A. 1 over 9 square footStep-by-step explanation:The base of the parallelogram, including the dotted portion that extends past the actual base, is 1/2 foot.  The dotted portion is 1/6 foot; this means the actual base is 1/2 - 1/63/6 - 1/6 = 2/6 = 1/3 footThe area of a parallelogram is given by the formula A = bh.  The base is 1/3 foot and the height is 1/3 foot; this gives usA = 1/3(1/3) = 1/9 square foot