Algebra - systems problem - (hard)?

The math question in my book that I'm inquiring about has a picture, so I took a picture and uploaded the question. It's #65.

http://uploadpic.org/v.php?img=wBAwPTzp7I

I've only got two linear equations in 3 variables. I needed one more to create a system of 3 equations in 3 variables.

This is what I did to get the two equations,

L = length of the wood

w = width of the wood

h = height of the table

-L + 32 + w = h

-w + 28 + L = h

The only other fact that I could determine besides those equations was this:

(-L +32 + w) + (-w + 28 +L) = 2h

This just states that if you add the two equations together, they equal twice the height. However, this solves to h = 30 cm because w and L cancel each other out, making it impossible to be used in my system.

30cm is the height, but what's weird is that I determined this without even making a system. I need to know how to get the system though, so that I can figure out L and w.

I'm really determined to figure this out, so help would be appreciated. :)

Update:

Huh? The web address is harmful? Try googling uploadpic. It's just like Tinypic or Imageshack.

Comments

  • h – w + l = 32

    h + w – l = 28

    2h = 60

    h = 30 cm

    to calculate some more data is required as ratio of L : w then only l and w can be calculated.

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  • Unfortunately, my computer says that that web address is harmful, and it is being blocked by anti virus software. I can't access the diagram. If you don't get any other answers, that may be why. Try re uploading elsewhere, and re posting, if that happens.

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