document.write( "Question 617075: the perimeter of a rectangular field is 480 square metres and area is 10800 square metres find the dimensions \n" ); document.write( "
Algebra.Com's Answer #388144 by unlockmath(1688)![]() ![]() You can put this solution on YOUR website! Hello, \n" ); document.write( "Let's use 2 equations for this, L is Length and W is Width: (note: I'm assuming it was copied wrong. Perimeter must be 480 meters, not square meters) \n" ); document.write( "2L+2W=480 \n" ); document.write( "L(W)=10800 rewritten as: L=10800/W \n" ); document.write( "Use substitution for this: \n" ); document.write( "2(10800/W)+2W=480 or rewritten as: 21600/W+2W=480 \n" ); document.write( "Multiply by W: \n" ); document.write( "21600+2w^2=480W \n" ); document.write( "Divide by 2 and subtract 240W: \n" ); document.write( "W^2 -240W +10800 =0 \n" ); document.write( "Factor: \n" ); document.write( "(W-180)(W-60) \n" ); document.write( "Solve for W \n" ); document.write( "Width=60 meters \n" ); document.write( "Length=180 meters \n" ); document.write( "Make sense? \n" ); document.write( "RJ \n" ); document.write( "www.math-unlock.com \n" ); document.write( " |