Answer:
W = 16 2/3 yards
L = 3 1/3 yards
Explanation:
A rectangle will consist of two sides with length L, and two more sides with length W. Area will be W*L.
We are told that L is 30 yards less than 2W:
L = 2W - 30
We also learn that we have 60 yards of fencing for the perimeter, which is 2L + 2W.
Therefore, we can write: 2W + 2L = 60 yards.
I see the words "need to use," so I must conclude that all of the fencing must be used. This sounds like a domestic issue.
Let's use L=2W-20 in the equation 2W + 2L = 60:
2W + 2L = 60
2W + 2(2W-20) = 60
2W + 4W-40 = 60
6W =100
W = (100/6) = 16 2/3 yards
L = 2W - 30
L = 2(16+(2/3)) - 30
L = 33 1/3 - 30
L = 3 1/3 yards
===============
Is the length 30 yards less than twice the width?
2W = 33.33
33.33 - 3.33 = 30 yards YES