The exact amount of fencing that enclosed the four congruent equilateral triangular corrals shown here is reused to form one large square corral. What is the ratio of the total area of the four small corrals to the area of the new large corral? Express your answer as a common fraction.
+1223 Let the side length of each triangle be 1. The total perimeter of the corrals is 12, so the side length of the square corral is 3.
Area of triangles: \(4(\frac{\sqrt{3} \cdot 1^2}{4}) = \sqrt{3}\)
Area of square: \(3^2 = 9\)
Ratio: \(\boxed{\frac{\sqrt{3}}{9}}\)
