Question 949093
 W=width; L=length=2W; P=perimeter=2(L+W)=64 ft; Area =L*W
P=2(L+W) 
64 ft=2(L+W) Divide each side by 2
32 ft=L+W Substitute for L
32 ft=2W+W
32 ft=3W Divide each side by 3
(32/3)ft=W
Area =L*W Substitute for L
Area=2W*W
{{{Area=2W^2}}}
{{{Area=2(32ft/3)^2}}}={{{2(1024/9)sq ft}}}=227.6 sq ft
ANSWER Area of the rectangle is 227.6 sq ft.