You have twenty 2x4 Lego bricks, like the one shown below
What is the area of the largest rectangle you can make satisfying the following conditions:
- All bricks must be connected in a single structure that holds together when lifted.
- The bottom layer of the structure must form the rectangle that can lie flat on a table. The rectangle cannot have any gaps (must be filled).
- A pair of bricks is connected if they are interlocked by at least 2 studs per brick.