Respuesta :

Answer:

64.5 in²

Explanation:

[tex]\sf area \ of \ trapezoid = \dfrac{1}{2} * ( a + b) *h[/tex]

Solve for the entire trapezoid:

[tex]\hookrightarrow \sf \dfrac{1}{2} * ( 6.5 +(9.8+5.2+6.5) ) *8.6[/tex]

[tex]\hookrightarrow \sf 120.4 \ in^2[/tex]

Solve for the unshaded rectangle:

  • Length * Width
  • 6.5 * 8.6
  • 55.9 in²

Area of the shaded region:

  • 120.4 in² - 55.9 in²
  • 64.5 in²

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