7. (7 pоints) A biоlоgy reseаrcher hаs 12 feet of mаterial to make a cage for his experimental rats. He needs to make one big cage which is partitioned (split) into two sections with a piece of the material in the middle of the cage. He plans to make a rectangular cage split into two equally sized rectangles with the partition. What is the maximum area of each of the partitions (smaller rectangular section)? Include units. Be sure to show your answer is the maximum area, not the minimum area. Maximum area of each of the partitions is: ____________________