The paper demonstrates the possibility of a simple estimation of the resonance response expected frequency for a nanoantenna with the rectangular cross section when interacting with an external electromagnetic field. Additionally, the possibilities to construct a broadband resonance using scattering of nanoantennas with the rectangular cross section is analyzed. Analytical expressions for estimating of the resonance response are presented along with the full-wave modeling for rectangular nanoparticles with a thickness less than or equal to the thickness of the skin layer. Analytical expressions are obtained using the refined LCR-circuit model. The estimates are in good agreement with the results of the full wave modeling.