Can you help me with this word problem

Question

An architect designs a rectangular flower garden such that the width is exactly two-third of the length. If 260 feet of the antique picket fencing are to be used to enclose the garden, find the dimensions of the garden

Answer 1

Let length be 'L'

width =W

given that the width is exactly two-third of the length

W=2/3L

2L+2W=260

2L+2(2/3L)=260

6/3L+4/3L=260

10/3L=260

10L=780

L=78ft.

W=52ft