document.write( "Question 268929: If I know the perimeter of a rectangle is 34 and the area is 60 how do I find the sides? \n" ); document.write( "
Algebra.Com's Answer #197082 by unlockmath(1688)![]() ![]() You can put this solution on YOUR website! Hello, \n" ); document.write( "We can set up two equations and solve it. Let x be one side and y be the other side as follows: \n" ); document.write( "2x+2y=34 \n" ); document.write( "x(y)=60 Rewrite this as: x=60/y then plug this into the first equation as: \n" ); document.write( "2(60/y)+2y=34 Now multiply by y to get: \n" ); document.write( "120+2y^2=34y Subtract 34y from both sides to get: \n" ); document.write( "2y^2-34y+120=0 Rewrite it as: \n" ); document.write( "2(y^2-17y+60)=0 factor this to get: \n" ); document.write( "2(y-12)(y-5)=0 Solve for y: \n" ); document.write( "y=12 \n" ); document.write( "y=5 \n" ); document.write( "Now solve for x by plugging in 12 for y: \n" ); document.write( "2x+2(12)=34 \n" ); document.write( "x=5 \n" ); document.write( "Plug in 5 to get: \n" ); document.write( "x=12 \n" ); document.write( "So we see one side is 12 and the other side is 5. \n" ); document.write( "There we go! \n" ); document.write( "RJ \n" ); document.write( "There is a book I wrote that might help: \n" ); document.write( "www.math-unlock.com \n" ); document.write( " \n" ); document.write( " |