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Mathematics 20 Online
OpenStudy (vishal_kothari):

Suppose the unit square is divided into four parts by two perpen- dicular lines, each parallel to an edge. Show that at least two of the parts have area no larger than 1/4.

OpenStudy (anonymous):

dont get what you are trying to say but ok ill try lol

OpenStudy (anonymous):

You just draw and see. It wouldn't be possible.

OpenStudy (anonymous):

It's possible

OpenStudy (anonymous):

No, I meant not more than 2 parts is possible

OpenStudy (vishal_kothari):

ok

OpenStudy (anonymous):

Oh Ok...

OpenStudy (anonymous):

yeah go with order

OpenStudy (anonymous):

@ order it must be divided into four parts.

OpenStudy (anonymous):

Ah Ok.

OpenStudy (anonymous):

|dw:1326291578043:dw|

OpenStudy (anonymous):

Yup, just about to draw that.

OpenStudy (anonymous):

It's divided into exactly 4 equal parts, therefore one cannot be more than 1/4

OpenStudy (anonymous):

|dw:1326291618935:dw|

OpenStudy (anonymous):

Didn't think of that....

OpenStudy (anonymous):

Still atleast two parts have area less than 1/4

OpenStudy (anonymous):

So, in another question, how would you write this as Shown in a formula?

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