SOMEONE ANSWER PLEASE The trapezoid below is made up of a square and a triangle The total area of the trapezoid
is 575 square meters. The area of the triangle is 32.5 square meters. What is the a length of
side of the square?

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.