Let us assume the width of the rectangle = x Then The length of the rectangle = 2x The perimeter of the rectangle = 24 inches We know the formula of the perimeter of a rectangle is Perimeter = 2 (length + Breadth) 24 = 2 (2x + x) 24 = 2 * 3x 24 = 6x x = 24/6 = 4 So the width of the rectangle = 4 inches length of the rectangle = 2x = 2 * 4 inches = 8 inches Now The Area of the rectangle = Width * Length = 4 * 8 inches^2 = 32 inches ^2 So the area of the rectangle is 32 square inches. I hope i have helped you.