document.write( "Question 517042: A square animal pen and a pen shaped like an equilateral triangle have equal perimeters. find the length of the sides of each pen if the sides of the triangle pen are 8 less than twice the side of the square pen \n" ); document.write( "

Algebra.Com's Answer #344618 by JBarnum(2146) $\"\"$ $\"About$

You can put this solution on YOUR website!
this looks like a fun problem
\n" ); document.write( "All we are given:
\n" ); document.write( "all sides of square are same length (s)
\n" ); document.write( "all sides of triagle are same length (t)
\n" ); document.write( "same perimeter (p) for both triangle and square
\n" ); document.write( " $\"s%2Bs%2Bs%2Bs=p\"$
\n" ); document.write( " $\"4s=p\"$
\n" ); document.write( " $\"t%2Bt%2Bt=p\"$
\n" ); document.write( " $\"3t=p\"$
\n" ); document.write( " $\"4s=3t\"$
\n" ); document.write( " $\"t=2s-8\"$
\n" ); document.write( "------------
\n" ); document.write( "use substitution method for $\"t\"$
\n" ); document.write( " $\"4s=3%282s-8%29\"$ distribute the 3
\n" ); document.write( " $\"4s=6s-24\"$ subtract 4s from both sides
\n" ); document.write( " $\"0=2s-24\"$ add 24 to both sides
\n" ); document.write( " $\"24=2s\"$ divide by 2
\n" ); document.write( " $\"highlight%2812=s%29\"$
\n" ); document.write( "use substitution method for $\"s\"$
\n" ); document.write( " $\"4%2812%29=3t\"$ multiply the 4 and 12
\n" ); document.write( " $\"48=3t\"$ divide by 3
\n" ); document.write( " $\"highlight%2819=t%29\"$
\n" ); document.write( "-----------------
\n" ); document.write( "check
\n" ); document.write( " $\"4%2812%29=3%2819%29\"$
\n" ); document.write( " $\"48=48\"$
\n" ); document.write( "correct \n" ); document.write( "

\n" );