A
B
C
D
Explanation
Correct answer: D.
Choice D is correct. It's given that triangle R has an area of
. The area of a square is , where is the side length of the square. It's given that square S has side lengths of cm. It follows that the area, in , of square S is , or . Therefore, the total area, in , of triangle R and square S is , or .
Desmos solution:
Note: Because the area units are squared, Desmos multiplies by 4^2 and evaluates the expression to 96.
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 B
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C
Choice C is incorrect and may result from conceptual or calculation errors.