First, let's figure out the perimeter of the first rectangle. This is equal to 6*2 + 2*2 = 16 yards.
Now, we know that the area of the second rectangle is 7. There is only one possible combination of numbers that will multiply together to make 7, 7 and 1. This means that the length is 7 yards and the width is 1 yard. The dimensions of the rectangle are 7 yards by 1 yard.
We can check this by finding the perimeter of the second rectangle and seeing if it matches the first one. This is equal to 7*2 + 1*2 = 16, so our answer is correct.