2010 UNCO Math Contest II Problems/Problem 2
Revision as of 20:17, 19 October 2014 by Timneh (talk | contribs) (moved 2010 UNC Math Contest II Problems/Problem 2 to 2010 UNCO Math Contest II Problems/Problem 2: disambiguation of University of Northern Colorado with University of North Carolina)
Problem
The rectangle has dimensions 
.
The diagonal 
is divided into five
segments of equal length. Find the
total area of the shaded regions.
![[asy] pair A,B,C,D; A==(0,0);B=(75,0);C=(75,67);D=(0,67); draw(A--B--C--D--cycle,black); filldraw(A--(D+.2(B-D))--C--(D+.4(B-D))--cycle,blue); filldraw(A--(D+.6(B-D))--C--(D+.8(B-D))--cycle,blue); draw(B--D,black); dot(D+.2(B-D));dot(D+.4(B-D));dot(D+.6(B-D));dot(D+.8(B-D)); MP("A",D,NW);MP("B",B,SE); [/asy]](http://latex.artofproblemsolving.com/c/3/d/c3d2f4704d94eb6ca2088440d227f21bcc331bbf.png)
