Effective trapping of dust and gas emissions in civil and industrial buildings relies on energy-consuming local exhaust ventilation systems. Electricity consumption can be reduced by shaping exhaust hoods after boundaries of vortex zones that occur in these systems. This paper purports to determine how can the local drag coefficient (LDC) of a slotted hood be affected by shaping its inlet edges along the boundaries of vortex zones identified with different flange inclination angles and lengths. We show that flange length and tilt angle determine the efficiency of LDC reduction. The greatest decline in LDC, as high as 98%, is observed when a slotted hood perpendicular to its walls is shaped along vortex zone boundaries determined using the discrete vortex method. In contrast, when vortex zones determined by computational fluid dynamics (CFD) methods are used for shaping, the vortex cascade effect appears: shaping after the first vortex zone brings about a secondary vortex zone, shaping after the secondary zone results in another one etc. The efficiency of existing slotted hoods can be improved with ad-hoc inserts or duct walls shaped along the identified vortex zone boundaries. This improvement was confirmed experimentally for a flangeless hood.