MathDB
Perimeter of a Decagon

Source:

January 18, 2009
geometryperimeter

Problem Statement

The adjacent sides of the decagon shown meet at right angles. What is its perimeter? [asy]defaultpen(linewidth(.8pt)); dotfactor=4; dot(origin);dot((12,0));dot((12,1));dot((9,1));dot((9,7));dot((7,7));dot((7,10));dot((3,10));dot((3,8));dot((0,8)); draw(origin--(12,0)--(12,1)--(9,1)--(9,7)--(7,7)--(7,10)--(3,10)--(3,8)--(0,8)--cycle); label("88",midpoint(origin--(0,8)),W); label("22",midpoint((3,8)--(3,10)),W); label("1212",midpoint(origin--(12,0)),S);[/asy]<spanclass=latexbold>(A)</span> 22<spanclass=latexbold>(B)</span> 32<spanclass=latexbold>(C)</span> 34<spanclass=latexbold>(D)</span> 44<spanclass=latexbold>(E)</span> 50 <span class='latex-bold'>(A)</span>\ 22\qquad <span class='latex-bold'>(B)</span>\ 32\qquad <span class='latex-bold'>(C)</span>\ 34\qquad <span class='latex-bold'>(D)</span>\ 44\qquad <span class='latex-bold'>(E)</span>\ 50