Assuming the shape is a quadrilateral with side lengths:
- Left–Top = 17.20
- Top–Right = 28.70
- Right–Bottom = 20.00
- Bottom–Left = 30.40
- Diagonal (Left–Right) = 32.50
The diagonal divides the quadrilateral into two triangles.
Sides: 17.20, 28.70, 32.50
Using the cosine rule:
- Angle at Left vertex = 61.79°
- Angle at Top vertex = 86.33°
- Angle at Right vertex = 31.88°
Area (Heron's formula):
246.31 square units
Sides: 30.40, 20.00, 32.50
- Angle at Left vertex = 36.89°
- Angle at Bottom vertex = 77.27°
- Angle at Right vertex = 65.84°
Area:
296.53 square units
The diagonal splits the angles at the Left and Right vertices into two parts:
| Vertex | Calculation | Internal Angle |
|---|---|---|
| Left | 61.79° + 36.89° | 98.68° |
| Top | 86.33° | 86.33° |
| Right | 31.88° + 65.84° | 97.72° |
| Bottom | 77.27° | 77.27° |
Check:
98.68° + 86.33° + 97.72° + 77.27° = 360.00° ✓
[ 246.31 + 296.53 = 542.84 ]
Total area ≈ 542.84 square units
| Property | Value |
|---|---|
| Left angle | 98.68° |
| Top angle | 86.33° |
| Right angle | 97.72° |
| Bottom angle | 77.27° |
| Total area | 542.84 sq. units |
If the dimensions are in feet, the area is 542.84 ft²; if in meters, 542.84 m².