document.write( "Question 1155203: A square field had 5 meters added to its length and 2meters added to its width.The field had an area of 130 cm .Find the length of the original field. \n" ); document.write( "
Algebra.Com's Answer #777774 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A square field had 5 meters added to its length and 2meters added to its width. \n" ); document.write( "The field had an area of 130 sq/m . \n" ); document.write( "Find the length of the original field. \n" ); document.write( ": \n" ); document.write( "s = side of the original square \n" ); document.write( "(s + 5) = the length of the new field \n" ); document.write( "(s + 2) = the width \n" ); document.write( ": \n" ); document.write( "(s+5)*(s+2) = 130 \n" ); document.write( "FOIL \n" ); document.write( "s^2 + 2s + 5s + 10 = 130 \n" ); document.write( "s^2 + 7s + 10 - 130 = 0 \n" ); document.write( "s^2 + 7s - 120 = 0 \n" ); document.write( "Factors to \n" ); document.write( "(s+15)(s-8) = 0 \n" ); document.write( "A positive solution \n" ); document.write( "s = 8 meters is the side of the original square \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check: (8+5)*(8+2) = 130 \n" ); document.write( " \n" ); document.write( " |