emmagross2006
emmagross2006 emmagross2006
  • 10-05-2022
  • Mathematics
contestada

Find the area of the composite figure.
(View picture)

Find the area of the composite figure View picture class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 10-05-2022

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]
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