An LED-based replacement light for a fluorescent light includes a plurality of LEDs and an elongate housing for the LEDs. The housing is defined at least in part by a lens and has a cross sectional profile that partially falls along a cross sectional profile of a fluorescent light that the LED-based light is designed to replace. In addition, at least a portion of the lens extends beyond the cross sectional profile of the fluorescent light. The LED-based light also includes at least one connector arranged at an end of the housing that is configured for engagement with a socket of a fluorescent light fixture.