document.write( "Question 449558: Alex cuts a 36 inch piece of wire into 2 pieces. Each piece will be bent into a square. The area of the larger square will be four times the area of the smaller square. What will be the area of the smaller square? \n" ); document.write( "
Algebra.Com's Answer #309253 by rwm(914)\"\" \"About 
You can put this solution on YOUR website!
a/4*a/4=4*(b/4*b/4)
\n" ); document.write( "a^2/16=b^2/4
\n" ); document.write( "4a^2=16b^2
\n" ); document.write( "a^2=4b^2
\n" ); document.write( "a=2b
\n" ); document.write( "a=-2b
\n" ); document.write( "we reject any solutions that are negative.
\n" ); document.write( "a+b=36
\n" ); document.write( "2b+b=36
\n" ); document.write( "3b=36
\n" ); document.write( "b=12
\n" ); document.write( "a=36-b
\n" ); document.write( "a=24\r
\n" ); document.write( "\n" ); document.write( "a=24 b=12
\n" ); document.write( "each side of the 24 inch wire will be 6 inches
\n" ); document.write( "6*6=36 in^2
\n" ); document.write( "each side of the 12 in wire will be 3 inches
\n" ); document.write( "3*3=9 in^2
\n" ); document.write( "check
\n" ); document.write( "36 is 4 times 9
\n" ); document.write( "ok\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );