Explanation
Correct answer: A.
Choice A is correct. The area , in square meters, of a rectangle is the product of its length , in meters, and its width , in meters; thus, . It's given that a rectangle has an area of square meters and a length of meters. Substituting for and for in the equation yields . Dividing both sides of this equation by yields . Therefore, the width, in meters, of the rectangle is .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect. This is the difference between the area, in square meters, and the length, in meters, of the rectangle, not the width, in meters, of the rectangle.
Choice C
Choice C is incorrect. This is the square of the length, in meters, not the width, in meters, of the rectangle.
Choice D
Choice D is incorrect. This is the product of the area, in square meters, and the length, in meters, of the rectangle, not the width, in meters, of the rectangle.