Explanation
Correct answer: A.
Choice A is correct. The perimeter of a rectangle is equal to the sum of times its length and times its width. It's given that the rectangle's length is inches and the width is inches. Therefore, the perimeter, in inches, is , or , which is equivalent to . It's given that the perimeter is at most inches; therefore, represents this situation.
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect. This inequality represents a situation where the perimeter is at least, rather than at most, inches.
Choice C
Choice C is incorrect. This inequality represents a situation where times the length, rather than the length, is inches.
Choice D
Choice D is incorrect. This inequality represents a situation where times the length, rather than the length, is inches, and the perimeter is at least, rather than at most, inches.