document.write( "Question 889432: a piece of wire 44 m long is cut into two parts and each part is bent to form a square. if the total area of two squares is 65cm^2.find the perimeter of two squares? \n" ); document.write( "
Algebra.Com's Answer #538192 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a piece of wire 44 m long is cut into two parts and each part is bent to form a square. \n" ); document.write( " if the total area of two squares is 65cm^2, \n" ); document.write( ": \n" ); document.write( "Let x = the side of 1 square \n" ); document.write( "Let y = the side of the other square \n" ); document.write( ": \n" ); document.write( "x^2 + y^2 = 65 \n" ); document.write( "and \n" ); document.write( "4x + 4y = 44 \n" ); document.write( "Simplify, divide by 4 \n" ); document.write( "x + y = 11 \n" ); document.write( "y = (11-x) \n" ); document.write( ": \n" ); document.write( "In the area equation, replace y with (11-x) \n" ); document.write( "x^2 + (11-x)^2 = 65 \n" ); document.write( "FOIL (11-x)(11-x) \n" ); document.write( "x^2 + 121 - 22x + x^2 = 65 \n" ); document.write( "Arrange to form a quadratic equation \n" ); document.write( "2x^2 - 22x + 121 - 65 = 0 \n" ); document.write( "2x^2 - 22x + 56 = 0 \n" ); document.write( "simplify, divide by 2 \n" ); document.write( "x^2 - 11x + 28 = 0 \n" ); document.write( "Factors to \n" ); document.write( "(x-7)(x-4) = 0 \n" ); document.write( "x = 7, then y = 4 \n" ); document.write( "and \n" ); document.write( "x = 4, then y = 7 \n" ); document.write( "\"find the perimeter of two squares?\" \n" ); document.write( "4(4) = 16 m one square \n" ); document.write( "4(7) = 28 m the other square \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if this checks out, find the total area: 4^2 + 7^2 = 65 sq/m \n" ); document.write( " |