document.write( "Question 862605: An equilateral triangle and a regular polygon have the same perimeter. Each side of the pentagon is three inches shorter than the of the triangle. What is the perimeter of the triangle? \n" ); document.write( "

Algebra.Com's Answer #519750 by ben720(159) $\"\"$ $\"About$

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Let s equal one side of the triangle
\n" ); document.write( "equilateral triangle P = Pentagon with s-3 sides perimeter
\n" ); document.write( " $\"3s=5%28s-3%29\"$
\n" ); document.write( "Distribute the 5
\n" ); document.write( " $\"3s=5s-15\"$
\n" ); document.write( "Subtract 5s from both sides
\n" ); document.write( " $\"-2s=-15\"$
\n" ); document.write( "Divide both sides by -2
\n" ); document.write( " $\"s=7.5\"$
\n" ); document.write( "Each side is 7.5, so the perimeter is 3(7.5), or

22.5

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