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A room has dimensions $2\mathrm{.}81$ m $($height$)4\mathrm{.}38m6\mathrm{.}03m.$ A fly starting at one corner flies around, ending up at the diagonally opposite corner. $($a$)$ What is the magnitude of its displacement? $($b$)$ If the fly walks rather than flies, what is the length of the shortest path it can take? $($Hint: This can be answered without calculus. The room is like a box. Unfold its walls to flatten them into a plane.$)$

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$($b$)$ Number

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