The length of a rectangle is twice its width. Find its area, if its perimeter is 7 1/3 cm. Please help!!

Let x be the width
width = x

Length is twice its width
length = 2x

Perimeter = length + width + length + width
Perimeter = x + 2x + x + 2x = 6x

Given that perimeter = 7 1/3
6x = 7 1/3 
x = 7 1/3 ÷ 6 = 1 2/9

So width = 1 2/9
Length = 1 2/9 x 2 = 2 4/9

Area = length x width
Area = 1 2/9 x 2 4/9
Area = 2 80/81 square cm