The perimeter of a rectangle is represented by 4x + 24. In response to the question, “What is a possible representation of the area of this rectangle?” Mark says, “x^2 + 36,”
and Sarah says, “No, x^2 + 12x + 36.” What assumptions are both Mark and Sarah making about the rectangle? Comment on their answers. Other students are also discussing
the problem. Alex says the area is 24x. Anna says that she thinks the area is x2 + 12x +
27. Where do you think they are getting these answers? Can they all be correct?