The legth of a rectangrle is twice its width the perimeter of the rectangle is 166 feet

P=2(L+W)
P=166
166=2(L+W)
divide by 2
83=L+W

length is tiwce width
L=2W
subsitutte 2W for L

83=L+W
83=2W+W
83=3W
divide both sides by 3
83/3=W
subsitut back

L=2W
L=2(83/3)
L=166/3

the length is 166/3 ft and width is 83/3ft
length is about 55.33ft and width is about 27.66ft