document.write( "Question 798837: if the length of a certain rectangle was decreased by 6 feet and the width increased by 8 feet, the area would remain the same. also the area would remain unchanged if the length was increased by 6 feet and the width decreased by 4 feet. find the dimensions of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #482378 by Finavon(81)![]() ![]() ![]() You can put this solution on YOUR website! Area = length x breadth \n" ); document.write( "Here Area = a*b = (a-6)*(b+8) = (a+6)*(b-4) \n" ); document.write( "ab = ab+8a-6b-48 = ab-4a+6b-24 \n" ); document.write( "Subtract ab from each \n" ); document.write( "4a=3b+24 \n" ); document.write( "And \n" ); document.write( "4a=6b-24 \n" ); document.write( "These are equal \n" ); document.write( "3b+24=6b-24 \n" ); document.write( "48=3b \n" ); document.write( "b=16 \n" ); document.write( "a=18 \n" ); document.write( "Rectangle is 18 x 16 ft\r \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "Area1=16*18=72*4 \n" ); document.write( "Area2=12*24 \n" ); document.write( "Area3=24*12 \n" ); document.write( " \n" ); document.write( " |