document.write( "Question 192101: A gareen is currently 4 m wide and 7 m long. If the area of the garden is to be doubled by increasing the width and length by the same number of meters, find the new dimensions of the garden. \n" ); document.write( "

Algebra.Com's Answer #144159 by checkley75(3666) $\"\"$ $\"About$

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4*7=28 m^2 is the original area.
\n" ); document.write( "(4+x)(7+x)=2*28
\n" ); document.write( "28+11x+x^2=56
\n" ); document.write( "x^2+11x+28-56=0
\n" ); document.write( "x^2+11x-28=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=(-11+-sqrt[11^2-4*1*-28])/2*1
\n" ); document.write( "x=(-11+-sqrt[121+112])/2
\n" ); document.write( "x=(-11+-sqrt233)/2
\n" ); document.write( "x=(-11+-15.26)/2
\n" ); document.write( "x=(-11+15.26)2
\n" ); document.write( "x=4.264/2
\n" ); document.write( "x=2.132 meters is the increase needed to double the garden size.
\n" ); document.write( "Proof:
\n" ); document.write( "(4+2.132)(7+2.132)=56
\n" ); document.write( "6.132*9.132=56
\n" ); document.write( "56~56
\n" ); document.write( " \n" ); document.write( "

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