Answer: 99 ft by 66 ft
Work Shown
x = length
(2/3)x = width
2*(length + width) = perimeter of rectangle
2*( x + (2/3)x ) = 330
2x + (4/3)x = 330
3*( 2x + (4/3)x ) = 3*330
6x + 4x = 990
10x = 990
x = 990/10
x = 99 ft is the length
(2/3)x = (2/3)*99 = 66 ft is the width
Check:
2*(length + width) = perimeter of rectangle
2*(99 + 66) = 330
2*(165) = 330
330 = 330
The answer is confirmed.