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OpenStudy (z4k4r1y4):
A tunnel section is designed to have the shape of a rectangle surmounted by a semicircular roof. The total cross-sectional area A of the tunnel is fixed, but the perimeter must be minimised to save building costs. Find the optimal dimensions of the tunnel.
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OpenStudy (z4k4r1y4):
I got as far as: \[x=\sqrt{2A/(1+\pi/4)}\]
OpenStudy (z4k4r1y4):
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