Abstract: A modular furniture assembly comprising interconnected frame, back, and arms. The frame has walls mounting the back and arms. The frame walls include flanges and the back and arms include slits, with each flange being slidably received in a corresponding slit to secure the back and arms to the walls. Another aspect involves the covering which is disposed over components of the modular furniture. A component body has an exterior surface over which a covering extends. The body includes a channel and the covering includes a strip having a size and shape approximately matching the internal contour of the channel. The strip easily slides into the channel to secure the covering over the outer contour, while the channel configuration prevents the movement of the strip except in the sliding direction.