document.write( "Question 359012: A wire of length 16 inches is to be cut into two pieces; then each piece will be bent to form a square. Find the length of the two pieces assuming that the sum of the areas of the two squares is 10 square inches. \n" ); document.write( "
Algebra.Com's Answer #256235 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let one piece be x inches \n" ); document.write( "other piece will be 16-x inches\r \n" ); document.write( "\n" ); document.write( ".. \n" ); document.write( "(x/4)^2+(16-x)/4 ^2=10 \n" ); document.write( "x^2/16 +(256-32x+x^2)/16 =10 \n" ); document.write( "x^2+256-32x+x^2=160 \n" ); document.write( "2x^2-32x+96=0 \n" ); document.write( "/2 \n" ); document.write( "x^2-16x+48=0 \n" ); document.write( "(x-12)(x-4)=0 \n" ); document.write( "x=12 OR x=4 \n" ); document.write( ".. \n" ); document.write( "the pieces are 12 & 4 inches \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |