Question 966313
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W=width of border
{{{(8+W)(10+W)=Area}}}
{{{W^2+18W+80=195}}} Subtract 195 from each side.
{{{W^2+18W-115=0}}}
{{{(W+23)(W-5)=0}}}
{{{W+25=0}}} {{{or}}} {{{W-5=0}}}
{{{W=-25}}} {{{or}}} {{{W=5}}}
ANSWER: The width of the border is 5 feet.
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CHECK:
{{{(8ft+W)(10ft+W)=195ft^2}}}
{{{(8ft+5ft)(10ft+5ft)=195ft^2}}}
{{{(13ft)(15ft)=195ft^2}}}
{{{195ft^2=195ft^2}}}