The first thing you should know is that the perimeter of a rectangle is given by:
P = 2L + 2W
Where,
L: side
W: width
On the other hand we have that the ratio is:
L / W = 5/3
Clearing L we have:
L = (5/3) * (W)
Substituting in the expression of the perimeter:
P = 2 ((5/3) * (W)) + 2W
Rewriting:
P = (16/3) W
The perimeter is 192:
192 = (16/3) W
We cleared W:
W = (3/16) * (192)
W = 36
Finally we substitute W in the expression for L:
L = (5/3) * (W)
L = (5/3) * (36)
L = 60
Answer:
The width and length are:
W = 36 yards
L = 60 yards
