Respuesta :

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Answer:

19.3 m²

Steps:

Area of octagon : 2 ( 1 + √2 ) * a² ........ where a is length of each side

using the formula: 2 ( 1 + √2 ) * 2²

                            : 2 ( 1 + √2 ) * 4

                            : ( 8 + 8√2 ) m²

                            : 19.3 m² ...............our final answer in three significant fig

Answer:

  • 19.313 m²

Step-by-step explanation:

We know that:

  • Area of octagon: A = 2(1+√2)a²
  • a = side

Work:

  • 2(1+√2)a²
  • => A = 2(1+√2)2²
  • => A = 2(1+√2)4
  • => A = 8(1+√2)
  • => A = 8 + (√2 x 8)
  • => A = 8 + 11.313
  • => A = 19.313 m²

Hence, the area of the octagon is 19.313 m²

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