Choice A is correct. The area , in square inches, of a rectangle is the product of its length , in inches, and its width , in inches; thus, . It's given that the area of a rectangle is square inches and the length of the rectangle is inches. Substituting for and for in the equation yields . Dividing both sides of this equation by yields . Therefore, the width, in inches, of this rectangle is .
Choice B is incorrect. This is the length, not the width, in inches, of the rectangle.
Choice C is incorrect. This is half the area, in square inches, not the width, in inches, of the rectangle.
Choice D is incorrect. This is the difference between the area, in square inches, and the length, in inches, of the rectangle, not the width, in inches, of the rectangle.