Question 1022370
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W=width; L=length=W+30m
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{{{LW=Area}}}
{{{(W+30m)(W)=1000m^2}}}
{{{W^2+(30m)(W)=1000m^2}}}
{{{W^2+30W-1000=0}}}
{{{(W+50)(W-20)=0}}}
{{{W+50=0}}} {{{OR}}} {{{W-20=0}}}
{{{W=-50}}} {{{OR}}} {{{W=20}}}

Since W=-50 makes no sense. width is 20 meters.
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W=20 meters.
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{{{LW=1000m^2}}}
{{{L=(1000m^2)/(20m)}}}
{{{L=50meters}}}
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ANSWER: Length is 50 meters and width is 20 meters.
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CHECK:
{{{LW=A}}}
{{{(50meters)(20meteres)=1000m^2}}}
{{{1000m^2=1000m^2}}}
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