2026-08-01
This is a LinkedIn daily from the archive. Use the Solution tab below to reveal the complete answer, or keep practicing with a new puzzle anytime.
Try a random puzzle →Keep playing
Browse nearby LinkedIn dailies, try today's board, or explore similar puzzles and random mode.
Puzzle guide
Full breakdown using the Case file format — patch placements, tiling analysis, and strategy notes.
Overview
LinkedIn Patches #137 is the LinkedIn Patches daily for August 1, 2026. Patches is LinkedIn's tiling puzzle: partition a 7×7 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: Hard. Estimated solve time: 6–10 min.
Answer
This board has 14 clues on a 7×7 grid — each maps to one non-overlapping patch.
14 rectangles tile the 7×7 grid (49 cells): clue 1 → 1×2, clue 2 → 1×4, clue 3 → 1×4, clue 4 → 3×1, clue 5 → 1×4, clue 6 → 2×2, clue 7 → 1×5, clue 8 → 1×2, clue 9 → 1×2, clue 10 → 1×4, clue 11 → 1×4, clue 12 → 3×1, clue 13 → 1×4, clue 14 → 2×2. No overlap, every clue covered exactly once.
Analysis
Case file LinkedIn Patches #137: 7×7 tiling puzzle, 14 clue exhibits, area range 2–5 cells per patch. Full partition: 14 rectangles tile the 7×7 grid (49 cells): clue 1 → 1×2, clue 2 → 1×4, clue 3 → 1×4, clue 4 → 3×1, clue 5 → 1×4, clue 6 → 2×2, clue 7 → 1×5, clue 8 → 1×2, clue 9 → 1×2, clue 10 → 1×4, clue 11 → 1×4, clue 12 → 3×1, clue 13 → 1×4, clue 14 → 2×2. No overlap, every clue covered exactly once. Pattern tag: grid-partition puzzle.
Board spotlight: Clues are spread across the grid with mixed constraints — work from the tightest clues outward and verify each patch still allows a full tiling. With 7 of 14 clues showing a numbered area, dimension math often pins down rectangle size before you choose a position on the grid.
General Patches strategy on 7×7: 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, 1×2 at Row 1, column 1. The clue shows area 2, so its patch must cover exactly 2 cells (1×2 = 2). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
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, 1×4 at Row 2, column 1. The clue shows area 4, so its patch must cover exactly 4 cells (1×4 = 4). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 4: clue 4, 3×1 at Row 1, column 7. The shape icon allows any rectangle proportion. Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 5: clue 5, 1×4 at Row 3, column 1. The shape icon allows any rectangle proportion. Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 6: clue 6, 2×2 at Row 2, column 5. The shape icon requires a square. Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 7: clue 7, 1×5 at Row 4, column 1. The shape icon allows any rectangle proportion. Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 8: clue 8, 1×2 at Row 4, column 6. The clue shows area 2, so its patch must cover exactly 2 cells (1×2 = 2). The shape icon requires a wide rectangle (wider than tall). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 9: clue 9, 1×2 at Row 5, column 1. The clue shows area 2, so its patch must cover exactly 2 cells (1×2 = 2). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 10: clue 10, 1×4 at Row 5, 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 11: clue 11, 1×4 at Row 6, column 1. The clue shows area 4, so its patch must cover exactly 4 cells (1×4 = 4). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 12: clue 12, 3×1 at Row 5, column 7. The shape icon allows any rectangle proportion. Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 13: clue 13, 1×4 at Row 7, column 1. The shape icon allows any rectangle proportion. Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 14: clue 14, 2×2 at Row 6, column 5. The shape icon requires a square. Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Verdict: tiling set is consistent with every clue constraint. Case closed.
Patches
Shape & area
The clue shows area 2, so this patch must cover exactly 2 cells (1×2 = 2).
After placing this 2-cell rectangle, 47 cells remain for 13 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 47 cells remain for 13 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, 43 cells remain for 12 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 43 cells remain for 12 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, 39 cells remain for 11 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 39 cells remain for 11 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 3 cells (3×1). The shape icon allows any rectangle proportion.
After placing this 3-cell rectangle, 36 cells remain for 10 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 3-cell rectangle, 36 cells remain for 10 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 4 cells (1×4). The shape icon allows any rectangle proportion.
After placing this 4-cell rectangle, 32 cells remain for 9 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 32 cells remain for 9 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 4 cells (2×2). The shape icon requires a square.
After placing this 4-cell rectangle, 28 cells remain for 8 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 28 cells remain for 8 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 5 cells (1×5). The shape icon allows any rectangle proportion.
After placing this 5-cell rectangle, 23 cells remain for 7 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 5-cell rectangle, 23 cells remain for 7 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 2, so this patch must cover exactly 2 cells (1×2 = 2). The shape icon requires a wide rectangle (wider than tall).
After placing this 2-cell rectangle, 21 cells remain for 6 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 21 cells remain for 6 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 2, so this patch must cover exactly 2 cells (1×2 = 2).
After placing this 2-cell rectangle, 19 cells remain for 5 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 19 cells remain for 5 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, 15 cells remain for 4 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 15 cells remain for 4 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, 11 cells remain for 3 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 11 cells remain for 3 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 3 cells (3×1). The shape icon allows any rectangle proportion.
After placing this 3-cell rectangle, 8 cells remain for 2 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 3-cell rectangle, 8 cells remain for 2 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 4 cells (1×4). The shape icon allows any rectangle proportion.
After placing this 4-cell rectangle, 4 cells remain for 1 clue. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 4 cells remain for 1 clue. Each leftover region must still tile without overlap.
Shape & area
This patch covers 4 cells (2×2). The shape icon requires a square.
This 4-cell patch completes the grid — all 49 cells are now assigned to exactly one clue.
Solving note
This 4-cell patch completes the grid — all 49 cells are now assigned to exactly one clue.
Verification
Evidence chain supports 14 rectangles tile the 7×7 grid (49 cells): clue 1 → 1×2, clue 2 → 1×4, clue 3 → 1×4, clue 4 → 3×1, clue 5 → 1×4, clue 6 → 2×2, clue 7 → 1×5, clue 8 → 1×2, clue 9 → 1×2, clue 10 → 1×4, clue 11 → 1×4, clue 12 → 3×1, clue 13 → 1×4, clue 14 → 2×2. 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 7×7 grid into 14 non-overlapping rectangles — one per clue, matching area and shape hints. Patch 1: draw 1×2 at Row 1, column 1 for the clue at Row 1, column 2. The clue shows area 2, so this patch must cover exactly 2 cells (1×2 = 2). Patch 2: draw 1×4 at Row 1, column 3 for the clue at Row 1, column 6. The clue shows area 4, so this patch must cover exactly 4 cells (1×4 = 4). Patch 3: draw 1×4 at Row 2, column 1 for the clue at Row 2, column 1. The clue shows area 4, so this patch must cover exactly 4 cells (1×4 = 4). Patch 4: draw 3×1 at Row 1, column 7 for the clue at Row 2, column 7. This patch covers 3 cells (3×1). Patch 5: draw 1×4 at Row 3, column 1 for the clue at Row 3, column 2. This patch covers 4 cells (1×4). Patch 6: draw 2×2 at Row 2, column 5 for the clue at Row 3, column 6. This patch covers 4 cells (2×2). Patch 7: draw 1×5 at Row 4, column 1 for the clue at Row 4, column 1. This patch covers 5 cells (1×5). Patch 8: draw 1×2 at Row 4, column 6 for the clue at Row 4, column 7. The clue shows area 2, so this patch must cover exactly 2 cells (1×2 = 2). Patch 9: draw 1×2 at Row 5, column 1 for the clue at Row 5, column 2. The clue shows area 2, so this patch must cover exactly 2 cells (1×2 = 2). Patch 10: draw 1×4 at Row 5, column 3 for the clue at Row 5, column 6. The clue shows area 4, so this patch must cover exactly 4 cells (1×4 = 4). Patch 11: draw 1×4 at Row 6, column 1 for the clue at Row 6, column 1. The clue shows area 4, so this patch must cover exactly 4 cells (1×4 = 4). Patch 12: draw 3×1 at Row 5, column 7 for the clue at Row 6, column 7. This patch covers 3 cells (3×1). Patch 13: draw 1×4 at Row 7, column 1 for the clue at Row 7, column 2. This patch covers 4 cells (1×4). Patch 14: draw 2×2 at Row 6, column 5 for the clue at Row 7, column 6. This patch covers 4 cells (2×2). Complete: 49 cells covered, 14 valid patches — full tiling verified.
Pattern
Clues are spread across the grid with mixed constraints — work from the tightest clues outward and verify each patch still allows a full tiling.
Learn more in Patches Puzzle Strategies →Takeaways
14 rectangles tile the 7×7 grid (49 cells): clue 1 → 1×2, clue 2 → 1×4, clue 3 → 1×4, clue 4 → 3×1, clue 5 → 1×4, clue 6 → 2×2, clue 7 → 1×5, clue 8 → 1×2, clue 9 → 1×2, clue 10 → 1×4, clue 11 → 1×4, clue 12 → 3×1, clue 13 → 1×4, clue 14 → 2×2. No overlap, every clue covered exactly once.
Any 5-cell candidate that overlaps an existing patch or leaves an odd-sized gap is eliminated — the grid must partition exactly.
Clues are spread across the grid with mixed constraints — work from the tightest clues outward and verify each patch still allows a full tiling.
Solution
This 7×7 board has 14 clues, 7 of which specify a required area. Shape hints include any, square, wide proportions. 14 rectangles tile the 7×7 grid (49 cells): clue 1 → 1×2, clue 2 → 1×4, clue 3 → 1×4, clue 4 → 3×1, clue 5 → 1×4, clue 6 → 2×2, clue 7 → 1×5, clue 8 → 1×2, clue 9 → 1×2, clue 10 → 1×4, clue 11 → 1×4, clue 12 → 3×1, clue 13 → 1×4, clue 14 → 2×2. No overlap, every clue covered exactly once. Clues are spread across the grid with mixed constraints — work from the tightest clues outward and verify each patch still allows a full tiling. Use the Solution tab for a patch-by-patch reveal with live board updates, or the Solved board tab for the complete tiling.