![\"\"](\"/images/stars/stars-13.gif\")
You can put this solution on YOUR website!
A piece of wire 60 inches is cut into two pieces and then each piece is bent into the shape of a square.
\n" ); document.write( " If the sum of the areas of the two square is 117 square inches,
\n" ); document.write( " find the length of each piece of wire.
\n" ); document.write( ":
\n" ); document.write( "Let x = side of one square; let y = side of the other square
\n" ); document.write( ":
\n" ); document.write( "write an equation for each statement
\n" ); document.write( "\"A piece of wire 60 inches is cut into two pieces\"
\n" ); document.write( "4x + 4y = 60
\n" ); document.write( "simplify, divide by 4
\n" ); document.write( "x + y = 15
\n" ); document.write( "y = (15-x)
\n" ); document.write( ":
\n" ); document.write( "\"the sum of the areas of the two square is 117 square inches\"
\n" ); document.write( "x^2 + y^2 = 117
\n" ); document.write( "replace y with (15-x)
\n" ); document.write( "x^2 + (15-x)^2 = 117
\n" ); document.write( "FOIL (15-x)(15-x)
\n" ); document.write( "x^2 + 225 - 15x - 15x + x^2 = 117
\n" ); document.write( "combine like terms
\n" ); document.write( "2x^2 - 30x + 225 - 117 = 0
\n" ); document.write( "2x^2 - 30x + 108 = 0
\n" ); document.write( "simplify divide by 2
\n" ); document.write( "x^2 - 15x + 54 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "x = 6
\n" ); document.write( "x = 9
\n" ); document.write( "therefore
\n" ); document.write( "4(6) = 24\" is one piece of wire
\n" ); document.write( "and
\n" ); document.write( "4(9() = 36\" is the other
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this on calc: 6^2 + 9^2 = 117 \n" ); document.write( "