Final answer:
The area of the new parallelogram with a base of 6x units and a height of 4y units is 64 square units.
Step-by-step explanation:
The area of the larger square is 4 times larger than the area of the smaller square. To find the area of the smaller square, use the formula: area = side length squared. So the area of the smaller square is 4^2 = 16 square units. Since the dimensions of the larger square are twice the dimensions of the smaller square, the side length of the larger square is 2 * 4 = 8 units. Using the same formula, the area of the larger square is 8^2 = 64 square units. Therefore, the area of the new parallelogram is also 64 square units.