2026-07-04
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Puzzle guide
Full breakdown using the Pattern lab format — patch placements, tiling analysis, and strategy notes.
Overview
LinkedIn Patches #109 is the LinkedIn Patches daily for July 4, 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 13 clues on a 7×7 grid — each maps to one non-overlapping patch.
13 rectangles tile the 7×7 grid (49 cells): clue 1 → 1×4, clue 2 → 2×2, clue 3 → 1×4, clue 4 → 4×1, clue 5 → 1×3, clue 6 → 2×2, clue 7 → 4×1, clue 8 → 4×1, clue 9 → 2×1, clue 10 → 4×1, clue 11 → 2×2, clue 12 → 4×1, clue 13 → 1×4. No overlap, every clue covered exactly once.
Analysis
Classification target LinkedIn Patches #109. Grid 7×7. Clue sample 13. Shape mix: 1 square, 2 tall, 1 wide, 9 flexible. Area spread 2–4. Pattern: area-forced layout. Placement vector: clue 1 (1×4) → clue 2 (2×2) → clue 3 (1×4) → clue 4 (4×1) → clue 5 (1×3) → clue 6 (2×2) → clue 7 (4×1) → clue 8 (4×1) → clue 9 (2×1) → clue 10 (4×1) → clue 11 (2×2) → clue 12 (4×1) → clue 13 (1×4).
Board spotlight: Many clues show a numbered area — when area and shape combine, the rectangle size is often mathematically fixed before placement. With 11 of 13 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.
Sample 1: clue 1, area 4, shape any. 1×4 at Row 1, column 1. After placing this 4-cell rectangle, 45 cells remain for 12 clues. Each leftover region must still tile without overlap.
Sample 2: clue 2, area 4, shape square. 2×2 at Row 1, column 5. After placing this 4-cell rectangle, 41 cells remain for 11 clues. Each leftover region must still tile without overlap.
Sample 3: clue 3, area 4, shape any. 1×4 at Row 2, column 1. After placing this 4-cell rectangle, 37 cells remain for 10 clues. Each leftover region must still tile without overlap.
Sample 4: clue 4, area 4, shape any. 4×1 at Row 1, column 7. After placing this 4-cell rectangle, 33 cells remain for 9 clues. Each leftover region must still tile without overlap.
Sample 5: clue 5, area 3, shape wide. 1×3 at Row 3, column 1. After placing this 3-cell rectangle, 30 cells remain for 8 clues. Each leftover region must still tile without overlap.
Sample 6: clue 6, area 4, shape any. 2×2 at Row 3, column 5. After placing this 4-cell rectangle, 26 cells remain for 7 clues. Each leftover region must still tile without overlap.
Sample 7: clue 7, area 4, shape any. 4×1 at Row 3, column 4. After placing this 4-cell rectangle, 22 cells remain for 6 clues. Each leftover region must still tile without overlap.
Sample 8: clue 8, area 4, shape any. 4×1 at Row 4, column 3. After placing this 4-cell rectangle, 18 cells remain for 5 clues. Each leftover region must still tile without overlap.
Sample 9: clue 9, area 2, shape tall. 2×1 at Row 5, column 5. After placing this 2-cell rectangle, 16 cells remain for 4 clues. Each leftover region must still tile without overlap.
Sample 10: clue 10, area 4, shape any. 4×1 at Row 4, column 1. After placing this 4-cell rectangle, 12 cells remain for 3 clues. Each leftover region must still tile without overlap.
Sample 11: clue 11, area 4, shape any. 2×2 at Row 5, column 6. After placing this 4-cell rectangle, 8 cells remain for 2 clues. Each leftover region must still tile without overlap.
Sample 12: clue 12, area 4, shape tall. 4×1 at Row 4, column 2. After placing this 4-cell rectangle, 4 cells remain for 1 clue. Each leftover region must still tile without overlap.
Sample 13: clue 13, area 4, shape any. 1×4 at Row 7, column 4. This 4-cell patch completes the grid — all 49 cells are now assigned to exactly one clue.
Lab result: Area-forced layout. 13 rectangles tile the 7×7 grid (49 cells): clue 1 → 1×4, clue 2 → 2×2, clue 3 → 1×4, clue 4 → 4×1, clue 5 → 1×3, clue 6 → 2×2, clue 7 → 4×1, clue 8 → 4×1, clue 9 → 2×1, clue 10 → 4×1, clue 11 → 2×2, clue 12 → 4×1, clue 13 → 1×4. No overlap, every clue covered exactly once.
Patches
Shape & area
The clue shows area 4, so this patch must cover exactly 4 cells (1×4 = 4).
After placing this 4-cell rectangle, 45 cells remain for 12 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 45 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 (2×2 = 4). The shape icon requires a square.
After placing this 4-cell rectangle, 41 cells remain for 11 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 41 cells remain for 11 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, 37 cells remain for 10 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 37 cells remain for 10 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).
After placing this 4-cell rectangle, 33 cells remain for 9 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 33 cells remain for 9 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 3 cells (1×3). The shape icon requires a wide rectangle (wider than tall).
After placing this 3-cell rectangle, 30 cells remain for 8 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 3-cell rectangle, 30 cells remain for 8 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 4).
After placing this 4-cell rectangle, 26 cells remain for 7 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 26 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 (4×1 = 4).
After placing this 4-cell rectangle, 22 cells remain for 6 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 22 cells remain for 6 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).
After placing this 4-cell rectangle, 18 cells remain for 5 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 18 cells remain for 5 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 2 cells (2×1). The shape icon requires a tall rectangle (taller than wide).
After placing this 2-cell rectangle, 16 cells remain for 4 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 16 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 (4×1 = 4).
After placing this 4-cell rectangle, 12 cells remain for 3 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-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 (2×2 = 4).
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 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, 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
The clue shows area 4, so this patch must cover exactly 4 cells (1×4 = 4).
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
Optimal partition vector clue 1 (1×4) → clue 2 (2×2) → clue 3 (1×4) → clue 4 (4×1) → clue 5 (1×3) → clue 6 (2×2) → clue 7 (4×1) → clue 8 (4×1) → clue 9 (2×1) → clue 10 (4×1) → clue 11 (2×2) → clue 12 (4×1) → clue 13 (1×4). Constraint profile: 11 area-locked clues, shapes 1 square, 2 tall, 1 wide, 9 flexible. Pattern class: area-forced layout.
Solve path
Phase 1: Partition the 7×7 grid into 13 non-overlapping rectangles — one per clue, matching area and shape hints. Patch 1: draw 1×4 at Row 1, column 1 for the clue at Row 1, column 2. The clue shows area 4, so this patch must cover exactly 4 cells (1×4 = 4). Patch 2: draw 2×2 at Row 1, column 5 for the clue at Row 1, column 6. The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 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 4×1 at Row 1, column 7 for the clue at Row 2, column 7. The clue shows area 4, so this patch must cover exactly 4 cells (4×1 = 4). Patch 5: draw 1×3 at Row 3, column 1 for the clue at Row 3, column 3. This patch covers 3 cells (1×3). Patch 6: draw 2×2 at Row 3, column 5 for the clue at Row 3, column 5. The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 4). Patch 7: draw 4×1 at Row 3, column 4 for the clue at Row 4, column 4. The clue shows area 4, so this patch must cover exactly 4 cells (4×1 = 4). Patch 8: draw 4×1 at Row 4, column 3 for the clue at Row 5, column 3. The clue shows area 4, so this patch must cover exactly 4 cells (4×1 = 4). Patch 9: draw 2×1 at Row 5, column 5 for the clue at Row 5, column 5. This patch covers 2 cells (2×1). Patch 10: draw 4×1 at Row 4, column 1 for the clue at Row 6, column 1. The clue shows area 4, so this patch must cover exactly 4 cells (4×1 = 4). Patch 11: draw 2×2 at Row 5, column 6 for the clue at Row 6, column 7. The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 4). Patch 12: draw 4×1 at Row 4, column 2 for the clue at Row 7, column 2. The clue shows area 4, so this patch must cover exactly 4 cells (4×1 = 4). Patch 13: draw 1×4 at Row 7, column 4 for the clue at Row 7, column 6. The clue shows area 4, so this patch must cover exactly 4 cells (1×4 = 4). Complete: 49 cells covered, 13 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
All 13 samples partition the 7×7 grid. Same rule: one clue per rectangle, no overlap, full coverage.
Areas on this board range 2–4 cells. Area-forced layout boards require balancing shape and area constraints.
13 rectangles tile the 7×7 grid (49 cells): clue 1 → 1×4, clue 2 → 2×2, clue 3 → 1×4, clue 4 → 4×1, clue 5 → 1×3, clue 6 → 2×2, clue 7 → 4×1, clue 8 → 4×1, clue 9 → 2×1, clue 10 → 4×1, clue 11 → 2×2, clue 12 → 4×1, clue 13 → 1×4. No overlap, every clue covered exactly once.
Solution
This 7×7 board has 13 clues, 11 of which specify a required area. Shape hints include any, square, wide, tall proportions. 13 rectangles tile the 7×7 grid (49 cells): clue 1 → 1×4, clue 2 → 2×2, clue 3 → 1×4, clue 4 → 4×1, clue 5 → 1×3, clue 6 → 2×2, clue 7 → 4×1, clue 8 → 4×1, clue 9 → 2×1, clue 10 → 4×1, clue 11 → 2×2, clue 12 → 4×1, clue 13 → 1×4. 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.