Question: An engineer is to design a channel lined with planed wood to carry water at a flowrate of (2 mathrm{~m}^{3} / mathrm{s}) on a slope

An engineer is to design a channel lined with planed wood to carry water at a flowrate of $2 \mathrm{~m}^{3} / \mathrm{s}$ on a slope of $10 \mathrm{~m} / 800 \mathrm{~m}$. The channel cross section can be either a $90^{\circ}$ triangle or a rectangle with a cross section twice as wide as its depth. Which would require less wood and by what percent?

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