This work theoretically introduces an analytical approach to understand the local absorptions of the metal-dielectric-metal (MDM) plasmonic metasurfaces of silver (Ag) subwavelength disk arrays on a stack of thin silica (SiO2) spacing layer and Ag film (acting as a reflector) on silicon (Si) substrate. Poynting's theorem has been used to determine exactly the local absorption using the integration of the elemental absorption power density over the interested parts of the structure. The proposed analytical method is verified by a numerical model of the absorbed energy of the MDM plasmonic metasurfaces using the finite-difference time-domain method. Our analysis on the local absorption is able to reveal the intensive optical properties such as the absorption concentrated anywhere in the MDM plasmonic metasurfaces. At surface plasmon resonances, the absorption at the bottom half of the Ag disk region is the main contribution to the total loss of the structure. Knowing the exact absorption at any region of any structure is a key for the advanced study of biosensing and bioimaging, surface-enhanced absorption spectroscopy, and quantum communication. [ABSTRACT FROM AUTHOR]