This paper presents the design and simulation of a dual band rectangular patch antenna suitable for Bluetooth (2.4GHz-2.484GHz) and WiMAX (3.2GHz-3.8GHz) applications, utilizing a specific epoxy substrate. The study details essential design parameters, including calculations for patch width, length, and ground dimensions, achieving efficient performance with significant results, such as a return loss of -33.57 dB for the Bluetooth band. Ultimately, the fabricated antenna demonstrates practicality for modern wireless communication technologies.