document.write( "Question 975767: The length of a rectangle is 7 inches longer than it is wide. If the area is 198 square inches, what are the dimensions of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #597424 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! w = width \n" ); document.write( "w + 7 = length {length is 7 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( "w(w + 7) = 198 {substituted width and length into area formula} \n" ); document.write( "w² + 7w = 198 {used distributive property} \n" ); document.write( "w² + 7w - 198 = 0 {subtracted 198 from each side} \n" ); document.write( "(w + 18)(w - 11) = 0 {factored into two binomials} \n" ); document.write( "w + 18 = 0 or w - 11 = 0 {set each factor equal to 0} \n" ); document.write( "w = -18 or w = 11 {solved each equation for w} \n" ); document.write( "w = 11 {width cannot be negative} \n" ); document.write( "w + 7 = 18 {substituted 11, in for w, into w + 7 to find the length}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "width = 11 inches \n" ); document.write( "length = 18 inches \n" ); document.write( " To ask a question, visit: www.algebrahouse.com \n" ); document.write( " |