document.write( "Question 96806: A farmer has 26 meters of fencing available to enclose a rectangular region. he wants the rectangular garden to have an area o 40 square meters. find the dimension of the garden. \n" ); document.write( "
Algebra.Com's Answer #70424 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! xy=40 or x=40/y \n" ); document.write( "2x+2y=26 \n" ); document.write( "2(40/y)+2y=26 \n" ); document.write( "80/y+2y=26 \n" ); document.write( "(80+2y^2)/y=26 cross multiply \n" ); document.write( "80+2y^2=26y \n" ); document.write( "2y^2-26y+80=0 \n" ); document.write( "y^2-13y+40=0 \n" ); document.write( "(y-8)(y-5)=0 \n" ); document.write( "y-8=0 \n" ); document.write( "y=8 answer. x=5 \n" ); document.write( "y-5=0 \n" ); document.write( "y=5 answer. x=8 \n" ); document.write( "proof \n" ); document.write( "2*8+2*5=26 \n" ); document.write( "10+16=26 \n" ); document.write( "26=26\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |