Find The Perimeter of the parallelogram

Question

anonymous · Answer

http://curriculum.kcdistancelearning.com/courses/GEOMx-HS-A09/a/assessments/Q-ParallelogramsQuiz/Geometry_Unit5_2_Quiz_Final_q29.gif

anonymous · Answer

^ That's the picture is it 62?

jim_thompson5910 · Answer

you have one set of sides of the parallelogram

jim_thompson5910 · Answer

you just need the second set of sides

jim_thompson5910 · Answer

to do that, you solve the equation below for c

a^2 + b^2 = c^2

12^2 + 9^2 = c^2

144 + 81 = c^2

...
...
...

c = ??

anonymous · Answer

This is the only picture they provide and I got 225 for your question which is not an  answer choice.

e.mccormick · Answer

225 is $c^2$  You need to take the root and that is the length of the unknown side.  Once you have the unknown side, you can then find the perimiter.

anonymous · Answer

So 15

e.mccormick · Answer

Is the unknown side.  Now you have 16 on one set of sides and 15 on the other.  So add up all 4 sides.

anonymous · Answer

52?

jim_thompson5910 · Answer

so you now have this pic

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e.mccormick · Answer

Not quite.  You made an error in there somewhere.  Ah, the pic I was thinking about!

jim_thompson5910 · Answer

all you really care about is the parallelogram, so you erase or ignore the triangle

|dw:1365880539650:dw|

anonymous · Answer

Oh 62 thanks so much!!!

e.mccormick · Answer

np.  Have fun!  And I hope you get what Jim was talking about.  He used what was known about the triangle to find the missing side of the parallelogram.  That was the key point here.  Use the known to find the unknown.  Then the real answer is able to be reached.