document.write( "Question 967445: The area of a rectangular garden is 84 square meters. The width is 3 meters longer than one-third of the length. Find the length and the width of the garden. Use the formula, area=length*width. Thanks for the help!! \n" ); document.write( "
Algebra.Com's Answer #591297 by amarjeeth123(569)![]() ![]() ![]() You can put this solution on YOUR website! Let the length be 3x. \n" ); document.write( "Then the width is (x+3). \n" ); document.write( "area=length*width \n" ); document.write( "3x(x+3)=84 \n" ); document.write( "x(x+3)=28 \n" ); document.write( "x^2+3x-28=0 \n" ); document.write( "x^2+7x-4x-28=0 \n" ); document.write( "x(x+7)-4(x+7)=0 \n" ); document.write( "(x-4)(x+7)=0 \n" ); document.write( "x=4 is the only positive solution. \n" ); document.write( "The length is 12 metres. \n" ); document.write( "The width is 7 metres. \n" ); document.write( " |