Let w represent the width of the rectangle.
Given that the length of the rectangle is 2 yd longer than its width, it means that
length = w + 2
The formula for calculating the perimeter of the rectangle is expressed as
Perimeter = 2(length + width)
Given that the perimeter is 52, it means that
52 = 2(w + 2 + w) = 2(2w + 2)
52/2 = 2w + 2
26 = 2w + 2
2w = 26 - 2 = 24
w = 24/2 = 12
length = 12 + 2 = 14
Thus,
length = 14 yd
width = 12 yd