sandra5456 sandra5456
  • 20-02-2019
  • Mathematics
contestada

Find the area of a regular octagon with perimeter of 88 in

Respuesta :

MrsStrong
MrsStrong MrsStrong
  • 28-02-2019

Answer:

584.24 inches squared

Step-by-step explanation:

The regular octagon has 8 sides which are all equal. Since the perimeter, the distance all around is 88, divide 88 by 8. This gives 11 inches as the side length.

The formula is [tex]A = 2(1+\sqrt{2}) a^2\\A = 2(1+\sqrt{2}) 11^2\\A = 2(1 + \sqrt{2}) * 121\\A = 584.24[/tex]

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