Final answer:
The two figures have different areas but the same perimeters.
Step-by-step explanation:
The statement that best describes the areas and perimeters of the two figures is C) They have different areas but the same perimeters.
To determine this, we need to compare the areas and perimeters of the two figures. Let's call the side length of the smaller square 's'. The area of the smaller square is s^2, and the perimeter is 4s.
The larger square has dimensions that are twice the smaller square, so its side length is 2s. The area of the larger square is (2s)^2 = 4s^2, and the perimeter is 4(2s) = 8s.
Therefore, the two squares have different areas (s^2 and 4s^2) but the same perimeter (4s and 8s), so the answer is C) They have different areas but the same perimeters.