In this paper, the authors present an efficient design procedure for designing dual band (2.45GHz and 5.2GHz) microstrip antennas for WLAN applications using three different shapes of patch viz. rectangular, triangular and pentagonal. Computation used in designing is the transmission line method as it offers good physical insight. The designs are simulated using "CST microwave studio V9". The paper presents simulated results for return loss, bandwidth, and smith chart presentations. The analysis of the simulated results confirms successful designs of coaxial fed microstrip antennas for WLAN applications.