Answer:
8x² + 2y²
Step-by-step explanation:
Opposite sides of a rectangle are the same length, and the perimeter is the sum of the lengths of all four sides:
P = y² + 4x² + y² + 4x²
P = 8x² + 2y² . . . . . . . . collect terms
The perimeter of the rectangle is 8x²+2y², which matches the first choice.
