MathDB

7

Part of 1994 AMC 12/AHSME

Problems(1)

1994 AMC 12 #7

Source:

12/30/2011
Squares ABCDABCD and EFGHEFGH are congruent, AB=10AB=10, and GG is the center of square ABCDABCD. The area of the region in the plane covered by these squares is [asy] draw((0,0)--(10,0)--(10,10)--(0,10)--cycle); draw((5,5)--(12,-2)--(5,-9)--(-2,-2)--cycle); label("A", (0,0), W); label("B", (10,0), E); label("C", (10,10), NE); label("D", (0,10), NW); label("G", (5,5), N); label("F", (12,-2), E); label("E", (5,-9), S); label("H", (-2,-2), W); dot((-2,-2)); dot((5,-9)); dot((12,-2)); dot((0,0)); dot((10,0)); dot((10,10)); dot((0,10)); dot((5,5)); [/asy] <spanclass=′latex−bold′>(A)</span> 75<spanclass=′latex−bold′>(B)</span> 100<spanclass=′latex−bold′>(C)</span> 125<spanclass=′latex−bold′>(D)</span> 150<spanclass=′latex−bold′>(E)</span> 175 <span class='latex-bold'>(A)</span>\ 75 \qquad<span class='latex-bold'>(B)</span>\ 100 \qquad<span class='latex-bold'>(C)</span>\ 125 \qquad<span class='latex-bold'>(D)</span>\ 150 \qquad<span class='latex-bold'>(E)</span>\ 175
geometryAMC