The area of a hexagon is given by (3sqrt(3) / 2) x a^2 where a is the side of the hexagon.
Given that the ratio of the area of two similar hexagons is 5 : 2. This means that the ratio of the square of the sides is 5 : 2.
Let the corresponding side in the other hexagon be x, then:
25^2 : x^2 = 5 : 2
625 / x^2 = 5 / 2
x^2 = (625 x 2) / 5 = 250
x = sqrt(250) = 15.8
Therefore, the corresponding side in the other hexagon is approximately 15.8
