Respuesta :

Answer:

[tex]96\: cm^2[/tex]

Step-by-step explanation:

  • Given composite figure is a trapezoid.

  • Where, [tex] b_1= 14\: cm,\: b_2= 10\: cm, \:\&\: h = 8\: cm[/tex]

  • Formula for area of trapezoid is given as:

  • [tex]A(trapezoid) =\frac{1}{2}(b_1+b_2)(h)[/tex]

  • [tex]\implies A(trapezoid) =\frac{1}{2}(14+10)(8)[/tex]

  • [tex]\implies A(trapezoid) =\frac{1}{2}(24)(8)[/tex]

  • [tex]\implies A(composite\: figure) =96\: cm^2[/tex]