Respuesta :

Answer:

A = 173.82

Step-by-step explanation:

[tex]A = 2 (1 + \sqrt{2}) a^{2}[/tex]

a = 6

substitute 6 for a

A = 2 (1 + [tex]\sqrt{2}[/tex]) [tex]6^{2}[/tex]

solve:

A = 2 (1 + [tex]\sqrt{2}[/tex]) 36

A = 173.82

Answer:

Around 173.8 km (rounded to the nearest tenth of a km

Step-by-step explanation:

The area of an octagon can be found using the expression:

A=2(1+sqrt of 2)a^2

plug your side of 6 in to create the following equation:

A=2(1+sqrt of 2)(6^2)

Solve for A:

A= (2 + 2*sqrt of 2)(36) I multiplied 6 by 6 to get 36 and used distributive property on the other section.

A=72+72sqrt of 2

plug that in a calculator and you get around 173.8 km

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