Respuesta :
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.
Area of triangle = 32.5 m²
Area of square = s²
- Area of trapezoid = Area of triangle + Area of square = 575 m²
Area of the square:
[tex]32.5 +[/tex] Area of square = [tex]575 m²[/tex]
Area of square = [tex]575 -32.5[/tex]
Area of square = [tex]542.5[/tex]
[tex]s² = 542.5[/tex]
[tex]s= \sqrt{542.5} = 23.29[/tex]
The length of the square is [tex]23.29[/tex] meters.