Using a System to Break Even
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Check the picture below.
you really have two rectangles, a 6x10 and a 6x5, and surely you know what those areas are, so sum them up, and that's the area of the polygon.
you really have two rectangles, a 6x10 and a 6x5, and surely you know what those areas are, so sum them up, and that's the area of the polygon.
No. We claim that 
and use algebra to prove the statement.
Let
. Multiply this by ten to get 
. Subtract the initial equation to give 
and divide by 
to see that 
. Substituting into the original equation gives , proving the desired statement.
Let
