A rectangle that is 12 cm in area and 16 in perimeter?

To find the dimensions of the rectangle, we need to set up equations based on the given area and perimeter. The area of a rectangle is length multiplied by width, so length times width equals 12 cm. The perimeter of a rectangle is given by the formula 2(length + width), which in this case equals 16 cm. By solving these two equations simultaneously, we can find the dimensions of the rectangle.