Question 990874
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L=length; W=width; X=amount of increase; A=area
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(L+X)(W+X)=2(LW)
(6m+X)(4m+X)=2(6m)(4m)
X^2+10X+24=48
X^2+10X-24=0
(X-2)(X+12)=0
(X-2=0) OR (X+12=0)
X=2 OR X=-12 Since -12 makes no sense,
X=2 meters
ANSWER: Increase each dimension by 2 meters.
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CHECK
(L+X)(W+X)=2(LW)
(6m+2m)(4m+2m)=2(6m)(4m)
(8m)(6m)=2(24m^2)
48m^2=48m^2