A
B
C
D
Explanation
Correct answer: B.
Choice B is correct. The area of a square is , where is the side length of the square. It’s given that the length of a side of square X is centimeters. It follows that the area of square X is , or square centimeters. It’s also given that the area of rectangle Y is square centimeters. Therefore, the total area, in square centimeters, of square X and rectangle Y is , or .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual or calculation errors.
Choice C
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D
Choice D is incorrect. This is the area of square X, not the total area of square X and rectangle Y, in square centimeters.