Answer 1: WORK
Trace WORK in this numbered order: 1 at row 1, column 3; 2 at row 1, column 4; 3 at row 1, column 5; 4 at row 2, column 5. Reading those cells produces W → O → R → K. The movement is right, right, then down, so the first three letters continue across one line before the final letter sits one row below.
This four-cell path spans two rows and three columns. It changes direction once and therefore forms two straight segments. Three of its cells lie on an edge, none is a corner, the starting cell has two open orthogonal neighbors, and the ending cell has three. As the first disclosed route, it assigns four of the 24 open cells and leaves 20 for the remaining words.