Difference between revisions of "2011 UNCO Math Contest II Problems/Problem 5"

(Solution)
(Solution)
 
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== Solution ==
 
== Solution ==
<cmath>160</cmath>
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<cmath>\fbox{160}</cmath>
  
 
== See Also ==
 
== See Also ==

Latest revision as of 00:54, 11 March 2019

Problem

Determine the area of the square $ABCD$, with the given lengths along a zigzag line connecting $B$ and $D$. [asy] pair A,B,C,D,E,F,P,R; A=(0,4*sqrt(10)); B=(4*sqrt(10),4*sqrt(10)); C=(4*sqrt(10),0); D=(0,0); E=((9/5)*sqrt(10),(3/5)*sqrt(10)); F=(sqrt(10),3*sqrt(10)); draw(A--B--C--D--cycle,black); draw(D--E--F--B,black); P=unit(D-E)+E; R=unit(F-E)+E; draw(P--(P+R-E)--R,black); P=unit(B-F)+F; R=unit(E-F)+F; draw(P--(P+R-F)--R,black); MP("A",A,NW);MP("B",B,NE);MP("C",C,SE);MP("D",D,SW); MP("6",(D/2+E/2),NW);MP("8",(E/2+F/2),NE);MP("10",(F/2+B/2),S); [/asy]


Solution

\[\fbox{160}\]

See Also

2011 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions