document.write( "Question 990874: Joe's rectangular garden is 6 meters long and 4 meters wide. He wishes to double the area of his garden by increasing its length and width by the same amount. Find the number of meters by which each dimension must be increased. \n" ); document.write( "
Algebra.Com's Answer #610853 by macston(5194)\"\" \"About 
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\n" ); document.write( "L=length; W=width; X=amount of increase; A=area
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\n" ); document.write( "(L+X)(W+X)=2(LW)
\n" ); document.write( "(6m+X)(4m+X)=2(6m)(4m)
\n" ); document.write( "X^2+10X+24=48
\n" ); document.write( "X^2+10X-24=0
\n" ); document.write( "(X-2)(X+12)=0
\n" ); document.write( "(X-2=0) OR (X+12=0)
\n" ); document.write( "X=2 OR X=-12 Since -12 makes no sense,
\n" ); document.write( "X=2 meters
\n" ); document.write( "ANSWER: Increase each dimension by 2 meters.
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\n" ); document.write( "CHECK
\n" ); document.write( "(L+X)(W+X)=2(LW)
\n" ); document.write( "(6m+2m)(4m+2m)=2(6m)(4m)
\n" ); document.write( "(8m)(6m)=2(24m^2)
\n" ); document.write( "48m^2=48m^2\r
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