According to example embodiments, a layout design system includes a processor, a storage module configured to store a standard cell design, and a generation module. The standard cell design includes an active area and a normal gate area on the active area. The generation module is configured to receive the standard cell design, to adjust a width of an active cut design crossing the active area of the standard cell design, and to output a chip design including a design element using the processor. The design element includes the active cut design having the width adjusted.