The width is 1/2 mi.
We know that area of a rectangle is length times width:
A = lw
The length is 2 2/3 the width, so
l = 2 2/3w
We will change this to an improper fraction; multiply the denominator by the whole number and add the numerator:
l = 8/3w
Using this for l in the area formula, we have:
A = (8/3w)(w) = 8/3w²
2/3 = 8/3w²
Divide both sides by 8/3:
2/3÷8/3 = 8/3w²÷8/3
2/3×3/8 = w²
2/8 = w²
0.25 = w²
Take the square root of both sides:
√0.25 = √w²
0.5 = w