A polygon has an area of 100 square inches and one of its sides is 13 inches long. If a second similar polygon has an area of 36 square inches, what is the length of the corresponding side in the second polygon?

Question

amistre64 · Answer

assume we have sqaures;

a 10x10 is 100 squares
   a 6x6   is 36 squares

but a polygon is pretty general

amistre64 · Answer

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such that the area added up = 100 hmm

that would at least tell us the shape of the poly eh

amistre64 · Answer

how easy is the question spose to be?  lol

ledah · Answer

Not sure I'm terrible with trying to figure out stuff like this

amistre64 · Answer

13*13 = 169  so it aint gonna be a square to stat with; maybe it is a triangle after all

ledah · Answer

True. I see what you mean

anonymous · Answer

Amistre, I cant do math early in the morning lmao

ledah · Answer

IT is early right? xD

anonymous · Answer

lol ok then

anonymous · Answer

I believe the key to see here is that you can break up the polygon into a bunch of triangles who, iirc, are equal lateral (all angles are the same - 60 deg).  Finding the area of one triangle would be easy knowing that.

amistre64 · Answer

13sin60 * 13 / 2 = 73.1791466

which would be an equi tri of side lengths 13

amistre64 · Answer

so maybe its a 3 and a half sided poly?

ledah · Answer

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