document.write( "Question 848222: The length of a rectangle is 4 cm less than twice it's width. Find the length and the width given the area is 70 cm^2. \n" ); document.write( "
Algebra.Com's Answer #510954 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! The length of a rectangle is 4 cm less than twice it's width. Find the length and the width given the area is 70 cm^2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let x = width\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"The length of a rectangle is 4 cm less than twice it's width\" ----> Length = 2x - 4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Area = Length * Width\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "70 = (2x-4) * x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "70 = x(2x-4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "70 = 2x^2-4x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 = 2x^2-4x - 70\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x^2 - 4x - 70 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2(x^2 - 2x - 35) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 - 2x - 35 = 0/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 - 2x - 35 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x - 7)(x + 5) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x - 7 = 0 or x + 5 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 7 or x = -5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Toss the negative result. You can't have a negative width.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The width is 7 cm\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Width = x = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Length = 2x - 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Length = 2(7) - 4 ... plug in x = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Length = 14 - 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Length = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The length is 10 cm \n" ); document.write( " |