document.write( "Question 1008567: A rectangle has a length of 21 yards less than 10 times its width. If the area of the rectangle is 2533 square yards, find the length of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #628645 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "W=width; L=length=10W-21 \n" ); document.write( ". \n" ); document.write( "A=LW \n" ); document.write( "2533=(10W-21)(W) \n" ); document.write( "2533=10W^2-21W \n" ); document.write( "0=10W^2-21W-2533 \n" ); document.write( "0=(10W+149)(W-17) \n" ); document.write( "10W+149=0 -OR- W-17=0 \n" ); document.write( "10W=-149 -OR- W=17 \n" ); document.write( "W=-14.9 -OR- W=17 \n" ); document.write( "ANSWER 1: Width is 17 yards \n" ); document.write( ". \n" ); document.write( "L=10W-21=10(17)-21=170-21=149 \n" ); document.write( "ANSWER 2: Length is 149 yards. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "LW=A \n" ); document.write( "(149)(17)=2533 \n" ); document.write( "2533=2533 \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |