Let the width = W
Then the length = 1.5W
So we have that
W * (1/5)W = 216
(1.5)W^2 = 216
W^2 = 216/1.5
W^2 = 144 take the positive root
W = 12 ft and L = 12 (1.5) = 18 ft
The outside perimeter = 2 ( 12 + 10) + 2 ( 18 + 10) = 44 + 56 = 100 ft
CORRECT !! ..... good job