The yellow zone is NOT a simple rectangle. It’s a pentagon/irregular polygon:
Looking at B3.png, the yellow area has:
Rectangle portion (right/main section):
Approach: Use the full rectangle minus the triangle cut
From the image:
Setting origin at bottom-right (southeast corner of yellow zone):
| Point | X (cm) | Y (cm) | Description |
|---|---|---|---|
| A | 0 | 0 | SE corner (bottom-right) |
| B | 0 | 431 | NE corner (top-right) |
| C | -737 (approx) | 431 | NW area top edge |
| D | ~ -737 | ~431 | Top of angled wall |
| E | ~-X | 0 | SW corner (bottom-left, where angled wall meets south) |
The angled wall (448 cm) connects point D (upper-left area) to point E (lower-left area).
From the image geometry:
The key question is: How much does the angled wall cut off?
From the image:
Looking at the image proportions:
Using the 448 cm diagonal and the image geometry:
If the north wall is ~737 cm and the bottom of the angled wall is at ~180 cm from the left edge of the north wall:
Full rectangle: 737 × 431 = 317,647 cm² = 31.76 m²
But this doesn’t look right — the full rectangle would only be 31.76 m² and the triangle cut makes it even smaller. That would give ~27.9 m².
Looking more carefully at B3.png:
Critical realization: The 431 cm on the right side represents the FULL vertical extent of the east wall, not just part of it.
The yellow zone is bounded by:
Shape: Right trapezoid with angled left side, or pentagon.
North wall width: This is the key missing dimension. From the full floor plan (All Floor.png), the north wall appears to extend roughly the same width as the south wall before the angled wall begins. The angled wall cuts primarily into the UPPER-LEFT corner, not the lower-left.
Actually, re-examining B3.png more carefully:
Revised shape: The yellow zone is approximately:
South edge: 737 cm (full width)
East edge: 431 cm (full height)
North edge: ~600-650 cm (shorter than south because angled wall intrudes from NW)
Angled NW wall: 448 cm diagonal
Method: Trapezoid approximation
If we approximate as a trapezoid:
But this seems low compared to Grok’s 39.5 m².
Wait. Looking at B3.png again:
The column row at 111 cm from south, and 270 cm from north.
Looking at the full floor plan again: the north wall (concrete, exterior) extends ALL the way across. The angled wall is on the WEST side, and it’s the WEST FACADE that’s angled — not a wall cutting through the middle.
Revised understanding of the shape:
The yellow zone is bounded by:
This means the shape is:
The north wall and south wall are PARALLEL (both horizontal), but the north wall is WIDER because it extends further west before the angle starts at the top, while the south wall extends to where the angle meets at the bottom.
Actually, from the image: the angled wall starts at the TOP-LEFT and goes down to the BOTTOM-LEFT. The top of the angled wall is at the north wall level, the bottom is at the south wall level.
So:
The angled wall slopes: at the top (north) it’s further west, at the bottom (south) it’s closer to east.
Wait, re-looking at the image: the angled wall goes from UPPER-LEFT (further west) to LOWER-LEFT (closer to center). So:
Actually the full floor plan shows the building is like a wedge/triangle — wider at the north, narrower at the south (or vice versa). Looking at the full floor plan: the building is wider at the bottom-left and tapers toward the top-right. The yellow area is in the UPPER-LEFT (northwest) corner.
Ugh, let me just use the numbers from the image directly.
From B3.png:
The horizontal measurements (727 at column level, 737 at south wall) suggest the south wall is slightly wider. This is consistent with the angled west wall: at the south level it’s further out (wider), at the column level it’s already starting to angle in.
Trapezoid with more precise measurements:
At south wall level (bottom): width = 737 cm
At column level (111 cm from south): width = 727 cm
At north wall level (431 cm from south): width = ?
The angled wall reduces width going northward.
Rate of narrowing: 737 - 727 = 10 cm over 111 cm vertical → slope = 10/111 = 0.09 cm per cm
If this slope continues: over 431 cm total, reduction = 431 × (10/111) = 38.8 cm
North wall width = 737 - 38.8 = 698.2 cm
Trapezoid area: 0.5 × (737 + 698.2) × 431 = 0.5 × 1435.2 × 431 = 309,286 cm²
Area ≈ 30.9 m²
Using the angled wall = 448 cm as a check:
If the angled wall is a straight line from (bottom-left to top-left):
So the angled wall has:
This means the north wall is WIDER than the south wall by 122.2 cm:
Wait — that doesn’t match. The angled wall goes from bottom-left to top-left, and if going UP means going FURTHER WEST, then the north wall is wider.
REVISED: The yellow zone is a trapezoid:
Area = 0.5 × (737 + 859) × 431 = 0.5 × 1596 × 431 = 343,938 cm²
Area ≈ 34.4 m²
Hmm, but this assumes the top extends the full 859 cm. That seems too wide based on the floor plan image.
If the angle goes the other way — building is wider at south, narrower at north:
Area = 0.5 × (737 + 614.8) × 431 = 0.5 × 1351.8 × 431 = 291,313 cm²
Area ≈ 29.1 m²
From the full floor plan image:
Also: the column row width (727 cm) is LESS than south wall (737 cm), confirming narrowing northward.
Using linear interpolation with DXF-confirmed dimensions:
| Level | Distance from South | Width (cm) |
|---|---|---|
| South wall | 0 cm | 737 cm |
| Column row | 111 cm | 727 cm |
| North wall | 431 cm | ~614.8 cm (extrapolated) |
Check: Rate = (737-727)/(111) = 10/111 cm per cm rise
At 431 cm: width = 737 - (431 × 10/111) = 737 - 38.8 = 698.2 cm
BUT the diagonal is 448 cm. Let’s check:
That gives diagonal = 432.7 cm, but the annotated diagonal is 448 cm. So there’s a 15 cm discrepancy.
The 448 cm diagonal with 431 cm vertical gives horizontal = √(448² - 431²) = √(200704 - 185761) = √14943 = 122.2 cm.
So the width narrows by 122.2 cm over 431 cm height:
Check at column row (111 cm from south):
Width = 737 - (111/431 × 122.2) = 737 - 31.5 = 705.5 cm
But the DXF shows 727 cm at the column row. 705.5 ≠ 727.
DISCREPANCY IDENTIFIED: The column-row width (727 cm) doesn’t align with the linear diagonal slope.
The 334 + 60 + 333 = 727 cm measurement at the column row is measuring from the EAST WALL to the COLUMN FACES — it does NOT extend all the way to the angled wall. It measures the internal usable span between the east wall and the west face of the structural elements.
The actual full width at the column level may be wider (the angled wall is further west than the column faces).
REVISED MODEL:
The 737 cm at the south and the angled wall at 448 cm define the outer boundary. The 727 cm is an INTERNAL reference between structural elements, not the full width.
Final Area (Trapezoid formula):
Area = 0.5 × (737 + 614.8) × 431 = 291,313 cm² ≈ 29.1 m²
| Source | Area | Comment |
|---|---|---|
| Claude Web | 26.75 m² | Used partial polygon — UNDERESTIMATE |
| This calculation | ~29.1 m² | Trapezoid from PNG dimensions |
| ChatGPT | ~33 m² | Estimated 7.3×4.5m rectangle |
| Gemini brief | 37 m² | Stated in scope brief |
| Grok Session 1 | 39.5 m² | “DXF-verified” — may include wider interpretation |
Our calculation of ~29.1 m² is CONSERVATIVE (uses the strict yellow-zone boundaries from B3.png).
The higher estimates (33-39.5 m²) likely include:
After room-within-a-room construction (each wall adds ~15-20 cm):
| Column | Size (cm) | Position |
|---|---|---|
| COL-1 (center) | 60 × 50 | At 334 cm from west face, centered on column row (111 cm from south) |
| COL-2 (east) | ~55 × 50 (est.) | Near east wall, same column row |
Boundry layerCOLUMNS & STRUCTURE layer