Create an equation using the formula for area of a rectangle; area = width * length (X + 2)(x + 3) = 600 Multiply the dimensions. X^2 + 3x + 2x +6 = 600, or simplified x^2 +5x + 6 = 600. Subtract 600 to get the following: X^2 + 5x - 594 = 0 Factor by x: (X - 22)(x + 27) = 0 Solve for x X - 22 = 0 X = 22. Use the POSITIVE VALUE of x as you can’t have a negative area for a room. Then substitute 22 for x to get the dimensions (22+ 2) or 24 for length and (22+3) or 25 for width.
