Mie resonators as lattice resonant metasurfaces have the capability to produce structural color. However, design criteria for these metasurfaces are still being investigated. In this work, we numerically examined how the two-dimensional nanostructure shape in a lattice array affects the colorimetric response of the metasurface under linearly polarized light excitation. First, it was realized through near-field examinations that nodes of high-order resonances are localized to the corners of the rectangle-shaped nanostructures, where fundamental resonance nodes cannot be found. Second, removing the corners in rectangle-shaped nanostructures to create t-shaped nanostructure arrays displayed a dampening effect on the high-order resonance. Finally, analytical calculations of the color saturation showed increases upon moving from rectangle-shaped to t-shaped nanostructure arrays when a high-order resonance was dampened. From these results, we present a design guideline for lattice resonant metasurfaces: Removing portions of the nanostructure that support only high-order resonances dampens these modes while maintaining support for fundamental resonances. These results present a first-principles criterion for engineering nanoparticles in lattice resonant metasurfaces, offering a new toolbox addition for polarized light-sensing and colorimetric applications.