At one really small university, there are 1,200 people. of these students, 53% are undergraduates. 37% are graduates, and the rest are going for their doctorate. how many professors are at the university?

The area of a rectangle is 10 cm^2. one side of the rectangle is x cm. express the perimeter of the rectangle in terms of x and show that this rectangle cannot have a perimeter of 12 cm. the perimeter of the rectangle in terms of x is __ cm