Puzzle seen at the LA County Fair – can it be solved?

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    Spent a while at the LA county fair trying to solve this puzzle. The objective is to make the pieces fit into a square shape. We couldn’t do it, and it quite bothered me. Sorry if the photo doesn’t perfectly capture the dimensions.
    One thing to note is that the large piece at the bottom and the one above and to the right of it (above the perfect square) are fused/glued together. The small perfect square seemed a little too obvious there, so we did try other configurations that didn’t include having it in that spot, but still couldn’t get it all to fit.

    I didn’t find the right solution from the Internet.

    References http://boards.straightdope.com/sdmb/showthread.php?t=837131

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