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anonymous

  • 5 years ago

Somebody Please Help Me A large gazebo is shaped like a regular octagon. it has sides of length 12 feet and an area of about 696 ft^2. Find the area of a similar gazebo that has a perimeter of 64 feet. a) 309.3 ft^2 b) 130.5ft^2 c)261ft^2 d) 116ft^2 e) 1566ft^2

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  1. amistre64
    • 5 years ago
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    an octagon has 8 sides, so...64/8 = 8 feet for each side.

  2. amistre64
    • 5 years ago
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    each section consists of triangle with a base of 8 and a 45degree angle...

  3. amistre64
    • 5 years ago
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    and 2 other angles at 67.5 degrees....

  4. anonymous
    • 5 years ago
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    so a?

  5. amistre64
    • 5 years ago
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    dunno yet, I havent worked it out that far :)

  6. amistre64
    • 5 years ago
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    if we use the law of sines; then h= 4sin(67.5)/sin(22.5)...

  7. amistre64
    • 5 years ago
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    calculator says h = 9.65685 Area = about 309.019 ? is that an option?

  8. amistre64
    • 5 years ago
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    yeah, go with (a) :)

  9. anonymous
    • 5 years ago
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    thank you

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