LinkedIn Patches #105 is a 6×6 Patches board with 6 clues (3 specify area, shapes: 2 tall, 1 wide, 3 flexible). The solution tiles all 36 cells with non-overlapping rectangles — one per clue. Recommended order: clue 1 (5×2) → clue 2 (2×3) → clue 3 (3×1) → clue 4 (3×3) → clue 5 (3×1) → clue 6 (1×5). Each rectangle must contain exactly one clue cell and match area and shape constraints when given.
Board spotlight: One or more clues demand large rectangles — lock those anchors first because they consume the most territory and constrain where every smaller patch can fit. With 3 of 6 clues showing a numbered area, dimension math often pins down rectangle size before you choose a position on the grid.
General Patches strategy on 6×6: rectangles cannot overlap, every cell must belong to exactly one patch, and each patch must contain precisely one clue at its anchor cell. When a clue shows area 12 and a tall icon, only a few height×width pairs are legal — list them before drawing. After each placement, mentally partition the leftover white space: if any region cannot host its remaining clues, back up and try the next candidate.
Patch 1 (clue 1 at Row 1, column 4): 5×2 at Row 1, column 4. This patch covers 10 cells (5×2). The shape icon requires a tall rectangle (taller than wide). After placing this 10-cell rectangle, 26 cells remain for 5 clues. Each leftover region must still tile without overlap.
Patch 2 (clue 2 at Row 2, column 1): 2×3 at Row 1, column 1. This patch covers 6 cells (2×3). The shape icon requires a wide rectangle (wider than tall). After placing this 6-cell rectangle, 20 cells remain for 4 clues. Each leftover region must still tile without overlap.
Patch 3 (clue 3 at Row 2, column 6): 3×1 at Row 1, column 6. This patch covers 3 cells (3×1). The shape icon requires a tall rectangle (taller than wide). After placing this 3-cell rectangle, 17 cells remain for 3 clues. Each leftover region must still tile without overlap.
Patch 4 (clue 4 at Row 5, column 1): 3×3 at Row 3, column 1. The clue shows area 9, so this patch must cover exactly 9 cells (3×3 = 9). After placing this 9-cell rectangle, 8 cells remain for 2 clues. Each leftover region must still tile without overlap.
Patch 5 (clue 5 at Row 5, column 6): 3×1 at Row 4, column 6. The clue shows area 3, so this patch must cover exactly 3 cells (3×1 = 3). After placing this 3-cell rectangle, 5 cells remain for 1 clue. Each leftover region must still tile without overlap.
Patch 6 (clue 6 at Row 6, column 3): 1×5 at Row 6, column 1. The clue shows area 5, so this patch must cover exactly 5 cells (1×5 = 5). This 5-cell patch completes the grid — all 36 cells are now assigned to exactly one clue.
Final verification: 6 rectangles tile the 6×6 grid (36 cells): clue 1 → 5×2, clue 2 → 2×3, clue 3 → 3×1, clue 4 → 3×3, clue 5 → 3×1, clue 6 → 1×5. No overlap, every clue covered exactly once. Pattern tag: large-anchor tiling. One or more clues demand large rectangles — lock those anchors first because they consume the most territory and constrain where every smaller patch can fit.