document.write( "Question 123075: Julia's soybean field is 3 m longer than it is wide. To increase her production, she plans to increase both the length and width by 2 m. If the new field is 46m2 larger than the old field then what are the dimensions of the the old field? \n" ); document.write( "
Algebra.Com's Answer #90318 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! X & X+3 ARE THE MEASUREMENTS OF THE ORIGINAL FIELD. \n" ); document.write( "X(X+3)=X^2+3X FOR THE ORIGINAL FIELDS AREA. \n" ); document.write( "(X+2)(X+5)=X^2+7X+10 IS THE EXPANDED AREA. \n" ); document.write( "GIVEN THAT THE DIFFERENCE IS 46M^2 THEN WE HAVE: \n" ); document.write( "X^2+3X+46=X^2+7X+10 \n" ); document.write( "X^2-X^2+3X-7X=-46+10 \n" ); document.write( "-4X=-36 \n" ); document.write( "X=-36/-4 \n" ); document.write( "X=9M FOR ONE OF THE ORIGINAL WIDTH. \n" ); document.write( "9+3=12M FOR THE ORIGINAL LENGTH. \n" ); document.write( "9*12=108 M^2 FOR THE ORIGINAL FIELD. \n" ); document.write( "PROOF: \n" ); document.write( "9+2=11 & 12+2=14 \n" ); document.write( "11*14=154 M^2 \n" ); document.write( "154-46=108 \n" ); document.write( "108=108 \n" ); document.write( " |