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