Question 981402
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L=length; W=width=L-3m
Area before increase=(L)(W)=(L)(L-3m)=L^2-3L
Area after increase=(L+1m)(L-3m+1m)=(L+1m)(L-2m)=L^2-L-2m
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Area after increase-area before increase=18m^2
{{{(L^2-L-2m)-(L^2-3L)=18m^2}}}
{{{L^2-L-2m-L^2+3L=18m^2}}}
{{{2L-2m=18m^2}}}
{{{2L=20}}}
{{{L=10m}}} The original length was 10 meters.
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{{{W=L-3m}}}={{{10m-3m=7m}}} The original width was 7 meters.
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CHECK:
Area after 1m increase-area before 1m increase=18m^2
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{{{(L+1m)(W+1m)-(L)(W)=18m^2}}}
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{{{(10m+1m)(7m+1m)-(10m)(7m)=18m^2}}}
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{{{(11m)(8m)-70m^2=18m^2}}}
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{{{88m^2-70m^2=18m^2}}}
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{{{18m^2=18m^2}}}