Let the length of the rectangle be L and the width be W.
 Given that the length is twice the width, Then :
 L = 2W .....(1)
 But we know that the perimeter is 36.
 ==> 2L + 2W = 36
 ==> 2L + L = 36
 ==> 3L = 36
 ==> L = 36/3 = 12
 ==> W = 12/2 = 6
 Now we will calculate the area:
 ==> A = L * W = 12* 6 = 72 square feet.
 Then the area of the rectangle is 72 square feet.