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We have \begin{align*} 50x+5y&=300,\\ 25x+10y&=300. \end{align*}Multiplying the second equation by $2$ and subtracting it from the first equation, we find $$-15y=-300\Rightarrow y=20.$$Substituting this into the first equation, $$50x+100=300\Rightarrow
All four right triangles are 30-60-90 triangles. Therefore, the length of the shorter leg in each triangle is half the hypotenuse, and the length of the longer leg is sqrt3 times the length of the shorter leg. We apply these facts to each triangle,

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