Final answer:
To solve for x in similar polygons, set up a proportion using corresponding sides and solve for x. The correct value for x is 21.63.
Step-by-step explanation:
To solve for x in similar polygons, we need to set up a proportion between the corresponding sides of the polygons. Let's say the corresponding sides of the polygons are x units and 18 units. The proportion would be x/18 = 26/x. We can cross-multiply and solve for x. x * x = 18 * 26, x^2 = 468, x = √468, x ≈ 21.63. Therefore, the correct value for x is not one of the options given. None of the options A, B, C, or D are correct.