Respuesta :

Solution:

We know that:

  • Area of trapezoid = (a₁ + a₂)h/2
  • a₁ = 8 inches; a₂ = 8 + 4 + 4 inches; Height = 6 in.

This means that:

  • Area of trapezoid = (8 + 8 + 4 + 4)6/2

Step-by step calculations:

Simplify the numerator:

  • Area of trapezoid = (8 + 8 + 4 + 4)6/2
  • => Area of trapezoid = (24)6/2

Cancel the denominator:

  • => Area of trapezoid = (24)3

Simplify the term:

  • => Area of trapezoid = 72 in²
  • Base=8+4+4=16in

Area:-

[tex]\\ \rm\rightarrowtail 1/2(sum\:of\: parallel\:sides) Height [/tex]

[tex]\\ \rm\rightarrowtail 1/2(16+8)(6)[/tex]

[tex]\\ \rm\rightarrowtail 3(24)[/tex]

[tex]\\ \rm\rightarrowtail 72in^2[/tex]

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