Question 1161531
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The area of the logo, which is white, is equal to the area of the square minus the area of 4 pink circles.


Had you say that the circles are congruent and have maximum possible radius under given condition,
I would be able to move further and to tell you more.


But based on the current posted formulation, I can not do it, unfortunately . . . 



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Comment from student:  Thank you very much!  After I asked this question,  I looked at it some more and was able 
to work it out - the circles were congruent and the answer is  54.94cm². :)
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<U>My response</U> : &nbsp;&nbsp;I am glad to see your progress . . .