Question 969600
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W=width; L=length=W-6cm; A=Area=280 sq cm
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{{{WL=A}}} Substitute for L.
{{{W(W-6cm)=280cm^2}}}
{{{W^2-6W=280}}} Subtract 280 from each side.
{{{W^2-6W-280=0}}}
{{{(W-20)(W+14)=0}}}
{{{W-20=0}}} {{{or}}} {{{W+14=0}}}
{{{W=20}}} {{{or}}} {{{W=-14}}}
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ANSWER 1: The width is 20 centimeters.
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L=W-6cm=20cm-6cm=14cm
ANSWER 2: The length is 14 centimeters.