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A rectangle contains two circles of radius 6 that are each tangent to the rectangle in exactly 3 points. If the distance between the centers of the circles is 10, what is the area of the rectangle? 

 

Please help me

waffles  Apr 28, 2017
 #1
avatar+7023 
+2

The first sentence indicate that the width of the rectangle = 2 x 6 = 12.

2nd sentence indicates that length = 10 + 6 + 6 = 22

Area = 22 x 12 = 264

MaxWong  Apr 28, 2017
 #2
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+3

Here is a picture to go with Max's answer: smiley

 

hectictar  Apr 28, 2017
 #3
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+1

Great image Hectictar. l highly reccomend you visualize all you geometric problems, it really helps you able to do problems such as area and volmue.

 

"Don't be hopeless."

~HSC

HighSchoolCalculus  Apr 28, 2017
 #4
avatar+7266 
+1

Thank you HSC ! :)

 

I completely agree with you, I have to make pictures just to get it myself, then I figure I might as well post em smiley

 

Just out of curiosity..how is school going? Are you almost out for summer break? (Or do you even have summer break?)

hectictar  Apr 28, 2017

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