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      Question

      Find the length of the side of a regular octagon which

      is formed by cutting the corner of square of side 20 cm?
      A 20(тИЪ2+1) Correct Answer Incorrect Answer
      B 20(тИЪ2-1) Correct Answer Incorrect Answer
      C 10(тИЪ2+1) Correct Answer Incorrect Answer
      D 10(тИЪ2-1) Correct Answer Incorrect Answer

      Solution

      Let the sides of regular octagon be a. a┬▓ = x┬▓ + x┬▓ a┬▓ = 2x┬▓ x┬▓ = a┬▓/2 x = a/тИЪ2 x + a/тИЪ2 + a = 20 a/тИЪ2 + a/тИЪ2 + a = 20 a(тИЪ2+1) = 20 тИ┤ a = 20/(тИЪ2+1) тЗТ a = 20(тИЪ2-1)

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