Given a set of modules with flexibility in shape, we show that there exists a slicing floorplan F such that area(F) min {(1 + 1 r ), 54, (1 + α)}A t o t a l , where A t o t a l is the total area of all the modules, A m a x is the maximum module area, α = 2A m a x rA t o t a l and r 2 is the shape flexibility of each module. Our result shows that slicing floorplans can provably pack modules tightly when the modules have flexibility in shape.