AMC 8 2005 Problem 13
Source:
July 23, 2011
geometry
Problem Statement
The area of polygon is 52 with AB\equal{}8, BC\equal{}9 and FA\equal{}5. What is DE\plus{}EF?
[asy]defaultpen(linewidth(0.8));pair a=(0,9), b=(8,9), c=(8,0), d=(4,0), e=(4,4), f=(0,4);
draw(a--b--c--d--e--f--cycle);
draw(shift(0,-.25)*a--shift(.25,-.25)*a--shift(.25,0)*a);
draw(shift(-.25,0)*b--shift(-.25,-.25)*b--shift(0,-.25)*b);
draw(shift(-.25,0)*c--shift(-.25,.25)*c--shift(0,.25)*c);
draw(shift(.25,0)*d--shift(.25,.25)*d--shift(0,.25)*d);
draw(shift(.25,0)*f--shift(.25,.25)*f--shift(0,.25)*f);
label("", a, NW);
label("", b, NE);
label("", c, SE);
label("", d, SW);
label("", e, SW);
label("", f, SW);
label("5", (0,6.5), W);
label("8", (4,9), N);
label("9", (8, 4.5), E);[/asy]