2026-07-27
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2026-06-22
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Full breakdown using the Case file format — patch placements, tiling analysis, and strategy notes.
Overview
LinkedIn Patches #132 is the LinkedIn Patches daily for July 27, 2026. Patches is LinkedIn's tiling puzzle: partition a 6×6 grid into non-overlapping rectangles — one per clue — matching area and shape hints until every cell is covered. This page includes the live board, a solved-board view, and a step-by-step Solution walkthrough. Difficulty: Easy. Estimated solve time: 3–5 min.
Answer
This board has 8 clues on a 6×6 grid — each maps to one non-overlapping patch.
8 rectangles tile the 6×6 grid (36 cells): clue 1 → 6×1, clue 2 → 1×4, clue 3 → 5×1, clue 4 → 1×3, clue 5 → 3×2, clue 6 → 4×1, clue 7 → 1×3, clue 8 → 5×1. No overlap, every clue covered exactly once.
Analysis
Case file LinkedIn Patches #132: 6×6 tiling puzzle, 8 clue exhibits, area range 3–6 cells per patch. Full partition: 8 rectangles tile the 6×6 grid (36 cells): clue 1 → 6×1, clue 2 → 1×4, clue 3 → 5×1, clue 4 → 1×3, clue 5 → 3×2, clue 6 → 4×1, clue 7 → 1×3, clue 8 → 5×1. No overlap, every clue covered exactly once. Pattern tag: area-forced layout.
Board spotlight: Many clues show a numbered area — when area and shape combine, the rectangle size is often mathematically fixed before placement. With 8 of 8 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.
Exhibit 1: clue 1, 6×1 at Row 1, column 1. The clue shows area 6, so its patch must cover exactly 6 cells (6×1 = 6). The shape icon requires a tall rectangle (taller than wide). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 2: clue 2, 1×4 at Row 1, column 3. The clue shows area 4, so its patch must cover exactly 4 cells (1×4 = 4). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 3: clue 3, 5×1 at Row 1, column 2. The clue shows area 5, so its patch must cover exactly 5 cells (5×1 = 5). The shape icon requires a tall rectangle (taller than wide). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 4: clue 4, 1×3 at Row 2, column 3. The clue shows area 3, so its patch must cover exactly 3 cells (1×3 = 3). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 5: clue 5, 3×2 at Row 3, column 3. The clue shows area 6, so its patch must cover exactly 6 cells (3×2 = 6). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 6: clue 6, 4×1 at Row 3, column 5. The clue shows area 4, so its patch must cover exactly 4 cells (4×1 = 4). The shape icon requires a tall rectangle (taller than wide). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 7: clue 7, 1×3 at Row 6, column 2. The clue shows area 3, so its patch must cover exactly 3 cells (1×3 = 3). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 8: clue 8, 5×1 at Row 2, column 6. The clue shows area 5, so its patch must cover exactly 5 cells (5×1 = 5). The shape icon requires a tall rectangle (taller than wide). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Verdict: tiling set is consistent with every clue constraint. Case closed.
Patches
Shape & area
The clue shows area 6, so this patch must cover exactly 6 cells (6×1 = 6). The shape icon requires a tall rectangle (taller than wide).
After placing this 6-cell rectangle, 30 cells remain for 7 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 6-cell rectangle, 30 cells remain for 7 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 4, so this patch must cover exactly 4 cells (1×4 = 4).
After placing this 4-cell rectangle, 26 cells remain for 6 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 26 cells remain for 6 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 5, so this patch must cover exactly 5 cells (5×1 = 5). The shape icon requires a tall rectangle (taller than wide).
After placing this 5-cell rectangle, 21 cells remain for 5 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 5-cell rectangle, 21 cells remain for 5 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 3, so this patch must cover exactly 3 cells (1×3 = 3).
After placing this 3-cell rectangle, 18 cells remain for 4 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 3-cell rectangle, 18 cells remain for 4 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 6, so this patch must cover exactly 6 cells (3×2 = 6).
After placing this 6-cell rectangle, 12 cells remain for 3 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 6-cell rectangle, 12 cells remain for 3 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 4, so this patch must cover exactly 4 cells (4×1 = 4). The shape icon requires a tall rectangle (taller than wide).
After placing this 4-cell rectangle, 8 cells remain for 2 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 8 cells remain for 2 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 3, so this patch must cover exactly 3 cells (1×3 = 3).
After placing this 3-cell rectangle, 5 cells remain for 1 clue. Each leftover region must still tile without overlap.
Solving note
After placing this 3-cell rectangle, 5 cells remain for 1 clue. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 5, so this patch must cover exactly 5 cells (5×1 = 5). The shape icon requires a tall rectangle (taller than wide).
This 5-cell patch completes the grid — all 36 cells are now assigned to exactly one clue.
Solving note
This 5-cell patch completes the grid — all 36 cells are now assigned to exactly one clue.
Verification
Evidence chain supports 8 rectangles tile the 6×6 grid (36 cells): clue 1 → 6×1, clue 2 → 1×4, clue 3 → 5×1, clue 4 → 1×3, clue 5 → 3×2, clue 6 → 4×1, clue 7 → 1×3, clue 8 → 5×1. No overlap, every clue covered exactly once. Alternative rectangles around any single clue would either double-cover cells or leave holes that cannot host the remaining clues.
Solve path
Phase 1: Partition the 6×6 grid into 8 non-overlapping rectangles — one per clue, matching area and shape hints. Patch 1: draw 6×1 at Row 1, column 1 for the clue at Row 1, column 1. The clue shows area 6, so this patch must cover exactly 6 cells (6×1 = 6). Patch 2: draw 1×4 at Row 1, column 3 for the clue at Row 1, column 3. The clue shows area 4, so this patch must cover exactly 4 cells (1×4 = 4). Patch 3: draw 5×1 at Row 1, column 2 for the clue at Row 2, column 2. The clue shows area 5, so this patch must cover exactly 5 cells (5×1 = 5). Patch 4: draw 1×3 at Row 2, column 3 for the clue at Row 2, column 4. The clue shows area 3, so this patch must cover exactly 3 cells (1×3 = 3). Patch 5: draw 3×2 at Row 3, column 3 for the clue at Row 5, column 3. The clue shows area 6, so this patch must cover exactly 6 cells (3×2 = 6). Patch 6: draw 4×1 at Row 3, column 5 for the clue at Row 5, column 5. The clue shows area 4, so this patch must cover exactly 4 cells (4×1 = 4). Patch 7: draw 1×3 at Row 6, column 2 for the clue at Row 6, column 4. The clue shows area 3, so this patch must cover exactly 3 cells (1×3 = 3). Patch 8: draw 5×1 at Row 2, column 6 for the clue at Row 6, column 6. The clue shows area 5, so this patch must cover exactly 5 cells (5×1 = 5). Complete: 36 cells covered, 8 valid patches — full tiling verified.
Pattern
Many clues show a numbered area — when area and shape combine, the rectangle size is often mathematically fixed before placement.
Learn more in Patches Puzzle Strategies →Takeaways
8 rectangles tile the 6×6 grid (36 cells): clue 1 → 6×1, clue 2 → 1×4, clue 3 → 5×1, clue 4 → 1×3, clue 5 → 3×2, clue 6 → 4×1, clue 7 → 1×3, clue 8 → 5×1. No overlap, every clue covered exactly once.
Any 6-cell candidate that overlaps an existing patch or leaves an odd-sized gap is eliminated — the grid must partition exactly.
Many clues show a numbered area — when area and shape combine, the rectangle size is often mathematically fixed before placement.
Solution
This 6×6 board has 8 clues, 8 of which specify a required area. Shape hints include tall, any proportions. 8 rectangles tile the 6×6 grid (36 cells): clue 1 → 6×1, clue 2 → 1×4, clue 3 → 5×1, clue 4 → 1×3, clue 5 → 3×2, clue 6 → 4×1, clue 7 → 1×3, clue 8 → 5×1. No overlap, every clue covered exactly once. Many clues show a numbered area — when area and shape combine, the rectangle size is often mathematically fixed before placement. Use the Solution tab for a patch-by-patch reveal with live board updates, or the Solved board tab for the complete tiling.