1988 AJHSME #17
Source:
June 21, 2011
geometryrectangle
Problem Statement
The shaded region formed by the two intersecting perpendicular rectangles, in square units, is [asy]
fill((0,0)--(6,0)--(6,-3.5)--(9,-3.5)--(9,0)--(10,0)--(10,2)--(9,2)--(9,4.5)--(6,4.5)--(6,2)--(0,2)--cycle,black);
label("2",(0,.9),W);
label("3",(7.3,4.5),N);
draw((0,-3.3)--(0,-5.3),linewidth(1));
draw((0,-4.3)--(3.7,-4.3),linewidth(1));
label("10",(4.7,-3.7),S);
draw((5.7,-4.3)--(10,-4.3),linewidth(1));
draw((10,-3.3)--(10,-5.3),linewidth(1));
draw((11,4.5)--(13,4.5),linewidth(1));
draw((12,4.5)--(12,2),linewidth(1));
label("8",(11.3,1),E);
draw((12,0)--(12,-3.5),linewidth(1));
draw((11,-3.5)--(13,-3.5),linewidth(1));[/asy]