document.write( "Question 539715: I need help solving a quadratic equation.\r
\n" ); document.write( "\n" ); document.write( "The area of a field shaped like a right triangle is 600m2 ( squared). The legs of the field are fenced with steel at $10/m, while the hypotenuse is fenced with aluminum at $20/m. The perimeter of the field is 120m. The total cost of the fencing is $1700.
\n" ); document.write( "A. What is the length of each side of fence with steel?
\n" ); document.write( "B. what is the length of the side of the fence with aluminum?\r
\n" ); document.write( "\n" ); document.write( "Here's what I've tried:
\n" ); document.write( "xy/2= 600m2
\n" ); document.write( "x+y+z= 120
\n" ); document.write( "10x + 10y + 20z = $1700 or x+ y + 2z = $170\r
\n" ); document.write( "\n" ); document.write( "Not sure how to get rid of one of the variables.
\n" ); document.write( "Would greatly appreciate your assistance.\r
\n" ); document.write( "\n" ); document.write( "Daniel
\n" ); document.write( "

Algebra.Com's Answer #353544 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
xy/2= 600m2
\n" ); document.write( "xy=1200
\n" ); document.write( "x=1200/y
\n" ); document.write( "----
\n" ); document.write( "1200/y +y+z= 120
\n" ); document.write( "1200+y^2+yz=120y
\n" ); document.write( "y^2-120y+1200=-yz
\n" ); document.write( "multiply by 2
\n" ); document.write( "2y^2-240y+2400=-2yz
\n" ); document.write( "-----\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x+ y + 2z = $170
\n" ); document.write( "1200/y +y+2z=170
\n" ); document.write( "1200+y^2+2yz=170y\r
\n" ); document.write( "\n" ); document.write( "y^2-170y+1200=-2yz
\n" ); document.write( "-----
\n" ); document.write( "Equate -2yz\r
\n" ); document.write( "\n" ); document.write( "y^2-170y+1200=2y^2-240y+2400
\n" ); document.write( "y^2-70y+1200=0
\n" ); document.write( "y^2-40y-30+1200=0
\n" ); document.write( "(y-40)(y-30)=0
\n" ); document.write( "y= 40 OR 30\r
\n" ); document.write( "\n" ); document.write( "The sides of triangle are 40,30,50\r
\n" ); document.write( "\n" ); document.write( "50 is the hypotenuse\r
\n" ); document.write( "\n" ); document.write( "Area = 1/2 * 30*40= 600 (check)
\n" ); document.write( "Now you know how to answer the questions\r
\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca\r
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