Difference between revisions of "2011 UNCO Math Contest II Problems/Problem 5"
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== Solution == | == Solution == | ||
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== See Also == | == See Also == | ||
Revision as of 23:54, 10 March 2019
Problem
Determine the area of the square 
,
with the given lengths along a zigzag
line connecting 
and 
.
![[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]](http://latex.artofproblemsolving.com/3/3/b/33b0c4051e323f1a71acaa592ff599061bda52fc.png)
Solution
![\[\fbox{160}\]](http://latex.artofproblemsolving.com/d/5/9/d593018a2f191fa3c82b3fe299e14f7245780932.png)
See Also
| 2011 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| 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 | ||
