ShmoopTube

00:03

Here’s your shmoopy question du jour…

00:05

The Pentagon has run out of room, so they’ve decided to expand.

00:10

The Department of Defense will now be housed at the… Hexagon.

00:14

The building is to be turned into six equilateral,

00:17

triangular wings, each with sides measuring five feet, as shown below. 

00:23

How many feet of drywall will be needed for this job? (Black lines indicate where drywall will be built.)

00:31

And here are the potential answers...

00:35

OK, so this question is just testing our skills in visualizing real life from a drawing.

00:44

And in this case, things are simplified because all of the wall lengths are the same distance.

00:49

So let’s just count up the sides and we have 1 2 3 4 5 6 7 8 9 10 11 and 12 sides.

01:02

They are all 5 feet in length – so… 12 times 5 is 60 and the answer is C.

01:10

As in… “Construction will last 4-6 months.”

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