An architect designs a rectangle flower garden such that the width is exactly two thirds of the length. If 310 feet of antique picket fencing are to be used to enclose the garden, find the dimension of the garden.

width = w
height = h

so w = (2/3) * h

(The perimeter surrounding it)
2w + 2h = 310

2((2/3) * h) + 2h = 310

4h/3 + 2h = 310

10h/3 = 310

10h = 930
h = 93 feet

w = (2/3) * 93

w = 62 feet