Your task is to design a rectangular industrial warhosse consisting of three separate spaces of opual sine as in the figure.

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The wall materials cost $$500$ per linear meter and your compary allocates $$7,200\mathrm{.}000$ fir that part of the project involving. the walls.

Which dimensions maximize the area of the warehouse?

$($Give exact anwern. Use symbolic soculios and fractions where needed.$)$

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What is the area of cach compartment in this case?

$($Cive an exact answer. Use symbolic sodation and fractives where needed$)$

$A=$ zure meters