document.write( "Question 330540: The area of a rectangle is 20. The length is 3 less than twice the width. Find the length and width. \n" ); document.write( "
Algebra.Com's Answer #236945 by vksarvepalli(154)![]() ![]() You can put this solution on YOUR website! let the width of the rectangle be w \n" ); document.write( "The length is 3 less than twice the width \n" ); document.write( "so the length = 2w-3\r \n" ); document.write( "\n" ); document.write( "given area = 20\r \n" ); document.write( "\n" ); document.write( "so w(2w-3)=20\r \n" ); document.write( "\n" ); document.write( "so 2w^2-3w-20=0\r \n" ); document.write( "\n" ); document.write( "=> 2w^2-8w+5w-20=0 \n" ); document.write( "=> 2w(w-4)+5(w-4)=0\r \n" ); document.write( "\n" ); document.write( "so (2w+5)(w-4)=0\r \n" ); document.write( "\n" ); document.write( "so w=4 or w=-5/2\r \n" ); document.write( "\n" ); document.write( "since width can't be negative \r \n" ); document.write( "\n" ); document.write( "the width of the rectangle is = 4\r \n" ); document.write( "\n" ); document.write( "so the length will be = 5 \r \n" ); document.write( "\n" ); document.write( "Ans: length=5 width=4 \n" ); document.write( " |