document.write( "Question 536672: The area of a rectangular wall in a classroom is 165 square feet. Its length
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document.write( "is 4 feet longer than its width. Find the width of the wall of the
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document.write( "classroom. \n" );
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Algebra.Com's Answer #352523 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! \"The area of a rectangular wall in a classroom is 165 square feet. Its length \n" ); document.write( "is 4 feet longer than its width. Find the width of the wall of the \n" ); document.write( "classroom.\"\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = width \n" ); document.write( "x + 4 = length {the length is 4 longer than the width}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Area of a rectangle = width x length\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x(x + 4) = 165 {area of a rectangle is width x length} \n" ); document.write( "x² + 4x = 165 {used distributive property} \n" ); document.write( "x² + 4x - 165 = 0 {subtracted 165 from both sides} \n" ); document.write( "(x + 15)(x - 11) = 0 {factored into two binomials} \n" ); document.write( "x + 15 = 0 or x - 11 = 0 {set each factor equal to 0} \n" ); document.write( "x = -15 or x = 11 {subtracted 15 and added 11} \n" ); document.write( "x = 11 {width of a rectangle cannot be negative}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "width = 11 ft \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |