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1987 AMC 12 #8 - Sum of Distances

Source:

December 31, 2011
AMC

Problem Statement

In the figure the sum of the distances ADAD and BDBD is [asy] draw((0,0)--(13,0)--(13,4)--(10,4)); draw((12.5,0)--(12.5,.5)--(13,.5)); draw((13,3.5)--(12.5,3.5)--(12.5,4)); label("A", (0,0), S); label("B", (13,0), SE); label("C", (13,4), NE); label("D", (10,4), N); label("13", (6.5,0), S); label("4", (13,2), E); label("3", (11.5,4), N); [/asy] <spanclass=latexbold>(A)</span> between 10 and 11<spanclass=latexbold>(B)</span> 12<spanclass=latexbold>(C)</span> between 15 and 16<spanclass=latexbold>(D)</span> between 16 and 17<spanclass=latexbold>(E)</span> 17 <span class='latex-bold'>(A)</span>\ \text{between 10 and 11} \qquad<span class='latex-bold'>(B)</span>\ 12 \qquad<span class='latex-bold'>(C)</span>\ \text{between 15 and 16} \qquad<span class='latex-bold'>(D)</span>\ \text{between 16 and 17} \qquad<span class='latex-bold'>(E)</span>\ 17