document.write( "Question 165098: Johnny uses 80m of fencing materials to enclose three sides of a rectangular garden. The side if his house will make up the fourth. Find the garden of the area is 700 square meters. \n" ); document.write( "

Algebra.Com's Answer #121692 by checkley77(12844) $\"\"$ $\"About$

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Let x be 2 of the sides & y be the third side.
\n" ); document.write( "2x+y=80
\n" ); document.write( "y=80-2x
\n" ); document.write( "xy=700
\n" ); document.write( "x(80-2x)=700
\n" ); document.write( "80x-2x^2-700=0
\n" ); document.write( "2x^2-80x+700=0
\n" ); document.write( "2(x^2-40x+350)=0
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "x=(40+-sqrt[-40^2-4*1*350])/2*1
\n" ); document.write( "x=(-40+-sqrt[1600-1400])/2
\n" ); document.write( "x=(40+-sqrt200)/2
\n" ); document.write( "x=(40+-14.142)/2
\n" ); document.write( "x=(40+14.142)/2
\n" ); document.write( "x=54.142/2
\n" ); document.write( "x=27.07
\n" ); document.write( "y=80-2*27.07
\n" ); document.write( "y=80-54.14
\n" ); document.write( "y=25.86
\n" ); document.write( "x=(40-14.142)/2
\n" ); document.write( "x=25.858/2
\n" ); document.write( "x=12.929
\n" ); document.write( "y=80-2*12.929
\n" ); document.write( "y=80-25.858
\n" ); document.write( "y=54.142 \n" ); document.write( "

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