2026-07-03
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Puzzle guide
Full breakdown using the Strategy coach format — patch placements, tiling analysis, and strategy notes.
Overview
LinkedIn Patches #108 is the LinkedIn Patches daily for July 3, 2026. Patches is LinkedIn's tiling puzzle: partition a 8×8 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 12 clues on a 8×8 grid — each maps to one non-overlapping patch.
12 rectangles tile the 8×8 grid (64 cells): clue 1 → 3×3, clue 2 → 1×4, clue 3 → 3×1, clue 4 → 2×2, clue 5 → 3×2, clue 6 → 2×3, clue 7 → 2×2, clue 8 → 1×3, clue 9 → 3×3, clue 10 → 2×2, clue 11 → 2×4, clue 12 → 2×2. No overlap, every clue covered exactly once.
Analysis
Teaching LinkedIn Patches #108: students draw one rectangle at a time on this 8×8 board. 12 clues, 8 with fixed areas. Walk through 12 placements before declaring the grid solved — verify no overlap and no gaps after every patch.
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 12 clues showing a numbered area, dimension math often pins down rectangle size before you choose a position on the grid.
General Patches strategy on 8×8: 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.
Lesson step 1: show why 3×3 at Row 1, column 2 is forced around Row 1, column 4. This patch covers 9 cells (3×3). The shape icon requires a square. Ask: what cells are now unavailable for other clues?
Lesson step 2: show why 1×4 at Row 1, column 5 is forced around Row 1, column 8. The clue shows area 4, so this patch must cover exactly 4 cells (1×4 = 4). Ask: what cells are now unavailable for other clues?
Lesson step 3: show why 3×1 at Row 1, column 1 is forced around Row 2, column 1. The clue shows area 3, so this patch must cover exactly 3 cells (3×1 = 3). Ask: what cells are now unavailable for other clues?
Lesson step 4: show why 2×2 at Row 2, column 5 is forced around Row 3, column 5. This patch covers 4 cells (2×2). The shape icon requires a square. Ask: what cells are now unavailable for other clues?
Lesson step 5: show why 3×2 at Row 2, column 7 is forced around Row 3, column 8. The clue shows area 6, so this patch must cover exactly 6 cells (3×2 = 6). Ask: what cells are now unavailable for other clues?
Lesson step 6: show why 2×3 at Row 4, column 1 is forced around Row 4, column 1. The clue shows area 6, so this patch must cover exactly 6 cells (2×3 = 6). Ask: what cells are now unavailable for other clues?
Lesson step 7: show why 2×2 at Row 5, column 7 is forced around Row 5, column 8. The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 4). Ask: what cells are now unavailable for other clues?
Lesson step 8: show why 1×3 at Row 6, column 1 is forced around Row 6, column 1. The clue shows area 3, so this patch must cover exactly 3 cells (1×3 = 3). Ask: what cells are now unavailable for other clues?
Lesson step 9: show why 3×3 at Row 4, column 4 is forced around Row 6, column 4. This patch covers 9 cells (3×3). The shape icon requires a square. Ask: what cells are now unavailable for other clues?
Lesson step 10: show why 2×2 at Row 7, column 7 is forced around Row 7, column 8. The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 4). Ask: what cells are now unavailable for other clues?
Lesson step 11: show why 2×4 at Row 7, column 1 is forced around Row 8, column 1. The clue shows area 8, so this patch must cover exactly 8 cells (2×4 = 8). Ask: what cells are now unavailable for other clues?
Lesson step 12: show why 2×2 at Row 7, column 5 is forced around Row 8, column 5. This patch covers 4 cells (2×2). The shape icon requires a square. Ask: what cells are now unavailable for other clues?
Recap: 12 patches, 64 cells, one partition path. Replay using constrained-clue-first ordering.
Patches
Shape & area
This patch covers 9 cells (3×3). The shape icon requires a square.
After placing this 9-cell rectangle, 55 cells remain for 11 clues. Each leftover region must still tile without overlap.
Solving note
Opening tile: After placing this 9-cell rectangle, 55 cells remain for 11 clues. Each leftover region must still tile without overlap. Does any remaining region look untileable?
Shape & area
The clue shows area 4, so this patch must cover exactly 4 cells (1×4 = 4).
After placing this 4-cell rectangle, 51 cells remain for 10 clues. Each leftover region must still tile without overlap.
Solving note
Shape lock: After placing this 4-cell rectangle, 51 cells remain for 10 clues. Each leftover region must still tile without overlap. Does any remaining region look untileable?
Shape & area
The clue shows area 3, so this patch must cover exactly 3 cells (3×1 = 3).
After placing this 3-cell rectangle, 48 cells remain for 9 clues. Each leftover region must still tile without overlap.
Solving note
Area pin: After placing this 3-cell rectangle, 48 cells remain for 9 clues. Each leftover region must still tile without overlap. Does any remaining region look untileable?
Shape & area
This patch covers 4 cells (2×2). The shape icon requires a square.
After placing this 4-cell rectangle, 44 cells remain for 8 clues. Each leftover region must still tile without overlap.
Solving note
Partition test: After placing this 4-cell rectangle, 44 cells remain for 8 clues. Each leftover region must still tile without overlap. Does any remaining region look untileable?
Shape & area
The clue shows area 6, so this patch must cover exactly 6 cells (3×2 = 6).
After placing this 6-cell rectangle, 38 cells remain for 7 clues. Each leftover region must still tile without overlap.
Solving note
Mid-board: After placing this 6-cell rectangle, 38 cells remain for 7 clues. Each leftover region must still tile without overlap. Does any remaining region look untileable?
Shape & area
The clue shows area 6, so this patch must cover exactly 6 cells (2×3 = 6).
After placing this 6-cell rectangle, 32 cells remain for 6 clues. Each leftover region must still tile without overlap.
Solving note
Corridor fill: After placing this 6-cell rectangle, 32 cells remain for 6 clues. Each leftover region must still tile without overlap. Does any remaining region look untileable?
Shape & area
The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 4).
After placing this 4-cell rectangle, 28 cells remain for 5 clues. Each leftover region must still tile without overlap.
Solving note
Late anchor: After placing this 4-cell rectangle, 28 cells remain for 5 clues. Each leftover region must still tile without overlap. Does any remaining region look untileable?
Shape & area
The clue shows area 3, so this patch must cover exactly 3 cells (1×3 = 3).
After placing this 3-cell rectangle, 25 cells remain for 4 clues. Each leftover region must still tile without overlap.
Solving note
Verifier: After placing this 3-cell rectangle, 25 cells remain for 4 clues. Each leftover region must still tile without overlap. Does any remaining region look untileable?
Shape & area
This patch covers 9 cells (3×3). The shape icon requires a square.
After placing this 9-cell rectangle, 16 cells remain for 3 clues. Each leftover region must still tile without overlap.
Solving note
Gap close: After placing this 9-cell rectangle, 16 cells remain for 3 clues. Each leftover region must still tile without overlap. Does any remaining region look untileable?
Shape & area
The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 4).
After placing this 4-cell rectangle, 12 cells remain for 2 clues. Each leftover region must still tile without overlap.
Solving note
Final tile: After placing this 4-cell rectangle, 12 cells remain for 2 clues. Each leftover region must still tile without overlap. Does any remaining region look untileable?
Shape & area
The clue shows area 8, so this patch must cover exactly 8 cells (2×4 = 8).
After placing this 8-cell rectangle, 4 cells remain for 1 clue. Each leftover region must still tile without overlap.
Solving note
Patch 11: After placing this 8-cell rectangle, 4 cells remain for 1 clue. Each leftover region must still tile without overlap. Does any remaining region look untileable?
Shape & area
This patch covers 4 cells (2×2). The shape icon requires a square.
This 4-cell patch completes the grid — all 64 cells are now assigned to exactly one clue.
Solving note
Patch 12: This 4-cell patch completes the grid — all 64 cells are now assigned to exactly one clue. Does any remaining region look untileable?
Verification
Teach verification by checking units: after all 12 patches, count cells (64 total), confirm one clue per rectangle, and scan for overlaps. 12 rectangles tile the 8×8 grid (64 cells): clue 1 → 3×3, clue 2 → 1×4, clue 3 → 3×1, clue 4 → 2×2, clue 5 → 3×2, clue 6 → 2×3, clue 7 → 2×2, clue 8 → 1×3, clue 9 → 3×3, clue 10 → 2×2, clue 11 → 2×4, clue 12 → 2×2. No overlap, every clue covered exactly once.
Solve path
Phase 1: Partition the 8×8 grid into 12 non-overlapping rectangles — one per clue, matching area and shape hints. Patch 1: draw 3×3 at Row 1, column 2 for the clue at Row 1, column 4. This patch covers 9 cells (3×3). Patch 2: draw 1×4 at Row 1, column 5 for the clue at Row 1, column 8. The clue shows area 4, so this patch must cover exactly 4 cells (1×4 = 4). Patch 3: draw 3×1 at Row 1, column 1 for the clue at Row 2, column 1. The clue shows area 3, so this patch must cover exactly 3 cells (3×1 = 3). Patch 4: draw 2×2 at Row 2, column 5 for the clue at Row 3, column 5. This patch covers 4 cells (2×2). Patch 5: draw 3×2 at Row 2, column 7 for the clue at Row 3, column 8. The clue shows area 6, so this patch must cover exactly 6 cells (3×2 = 6). Patch 6: draw 2×3 at Row 4, column 1 for the clue at Row 4, column 1. The clue shows area 6, so this patch must cover exactly 6 cells (2×3 = 6). Patch 7: draw 2×2 at Row 5, column 7 for the clue at Row 5, column 8. The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 4). Patch 8: draw 1×3 at Row 6, column 1 for the clue at Row 6, column 1. The clue shows area 3, so this patch must cover exactly 3 cells (1×3 = 3). Patch 9: draw 3×3 at Row 4, column 4 for the clue at Row 6, column 4. This patch covers 9 cells (3×3). Patch 10: draw 2×2 at Row 7, column 7 for the clue at Row 7, column 8. The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 4). Patch 11: draw 2×4 at Row 7, column 1 for the clue at Row 8, column 1. The clue shows area 8, so this patch must cover exactly 8 cells (2×4 = 8). Patch 12: draw 2×2 at Row 7, column 5 for the clue at Row 8, column 5. This patch covers 4 cells (2×2). Complete: 64 cells covered, 12 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
This board uses 4 square, 8 flexible. Shape icons restrict width and height before you drag — list legal dimensions for each clue before drawing.
8 clues show a number. Multiply height×width before placing — mismatched area is the fastest way to break a Patches solve.
Before celebrating, count: 12 patches, 64 cells, zero overlap. 12 rectangles tile the 8×8 grid (64 cells): clue 1 → 3×3, clue 2 → 1×4, clue 3 → 3×1, clue 4 → 2×2, clue 5 → 3×2, clue 6 → 2×3, clue 7 → 2×2, clue 8 → 1×3, clue 9 → 3×3, clue 10 → 2×2, clue 11 → 2×4, clue 12 → 2×2. No overlap, every clue covered exactly once.
Solution
This 8×8 board has 12 clues, 8 of which specify a required area. Shape hints include square, any proportions. 12 rectangles tile the 8×8 grid (64 cells): clue 1 → 3×3, clue 2 → 1×4, clue 3 → 3×1, clue 4 → 2×2, clue 5 → 3×2, clue 6 → 2×3, clue 7 → 2×2, clue 8 → 1×3, clue 9 → 3×3, clue 10 → 2×2, clue 11 → 2×4, clue 12 → 2×2. 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.