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Math Help - GRE Math problem help!

  1. #1
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    GRE Math problem help!

    I'm trying to figure out an easy way to solve this problem:

    The figure above shows the lengths of the sides of an equiangular polygon. What is the area of the polygon? (My note: Since I can't draw the figure, I'll explain it. The figure has 8 sides with lengths 1 and sq. rt. 2 alternating on each side.)

    The answer is 7, but I can't seem to get to this answer. Any help?
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  2. #2
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    Quote Originally Posted by Azure8011 View Post
    I'm trying to figure out an easy way to solve this problem:

    The figure above shows the lengths of the sides of an equiangular polygon. What is the area of the polygon? (My note: Since I can't draw the figure, I'll explain it. The figure has 8 sides with lengths 1 and sq. rt. 2 alternating on each side.)

    The answer is 7, but I can't seem to get to this answer. Any help?
    enclose the octagon with a square ... Area = (big square) - (4 corner triangles) = (big square) - (2 small squares w/ diagonal length 1) = (2\sqrt{2})^2 - 1 = 7
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