In the given figure, if \(\frac{BC}{DE}\) = \(\frac{14}{9}\) and AE = 18 cm, then what is the value of AB (in cm)?

18 28 21 24

28

ΔAED ∼ ΔABC ⇒ \(\frac{AE}{AB}\) = \(\frac{DE}{BC}\) ⇒ \(\frac{18}{AB}\) = \(\frac{9}{14}\) ⇒ AB = \(\frac{18 × 14}{9}\) = 28 cm