To calculate the area of the shape described by the dimensions: 3 ft, 4 ft, 2 ft, 1 ft, 3 ft, and 4 ft, we need to first clarify the geometric shape these dimensions represent. Based on the lengths you provided, it seems like it could be a polygon, possibly a rectangle with some additional sections, but I'll need to assume a possible arrangement.

One typical approach for this kind of problem is to visualize or break it into simple shapes (rectangles, squares) whose areas can be calculated individually, then added together. However, without more context on how these measurements are positioned (whether these represent lengths of sides of a complex polygon, a multi-segment rectangle, or something else), I’ll make an assumption.

Let’s assume these are the lengths of the sides of a polygon and we can divide it into rectangles or simple shapes. Would you be able to provide more information, or do you have a drawing to clarify how the shape is laid out? If you can clarify the shape, I can give you a more precise area.

If you'd like, you can upload a diagram or give more details on how these measurements are connected, and we’ll go from there.

Would you like to proceed with this?