The perimeter is equal to (2 x length) + (2 x width)
In this case the total perimeter is 380 yards.
Also, the length L is 90 yds longer than the width W
so: L = W + 90
So, put this into our formula for perimeter:
P = 2(W + 90) + 2W = 380
P = 180 + 2W +2W = 380
4W = 200
W = 50 yd.
L = 50 + 90 = 140 yd.
Don't forget your units with your answer. :)