Solution:
Note that:
- Area of trapezoid = Area of triangle + Area of square = 575 m²
- Area of triangle = 32.5 m²
- Area of square = s²
Finding the area of the square:
- 32.5 + Area of square = 575 m²
- => Area of square = 575 - 32.5
- => Area of square = 542.5
- => s² = 542.5
- => s = √542.5 ≈ 23.29
The length of the square is 23.29 meters.