Question 988940
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x=amount each side is increased; L=length=30m; W=width=14m
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(L+x)(W+x)=2LW
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(30m+x)(14m+x)=2(30m)(14m)
420+44x+x^2=840
x^2+44x-420=0
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*[invoke quadratic "x", 1, 44, -420 ]
x=8.067m 
ANSWER: Each side should be increased by 8.067 meters.
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CHECK:
(L+x)(W+x)=2LW
(30m+x)(14m+x)=2(30m)(14m)
(30m+8.067m)(14m+8.067m)=840m^2
(38.067m)(22.067m)=840m^2
840.02m^2=840m^2