Question 340370
Define some variables first.
{{{L}}}-length
{{{W}}}-width
Turn the words into equations.
"11 feet longer than it is wide"
1.{{{L=11+W}}}
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The area of a rectangle is,
{{{A=L*W}}}
2.{{{L*W=276}}}
Substitute using eq. 1,
{{{(11+W)W=276}}}
{{{W^2+11W=276}}}
{{{W^2+11W-276=0}}}
Factor,
{{{(W+23)(W-12)=0}}}
Two solutions but only the positive solution makes sense in this case.
{{{W-12=0}}}
{{{highlight(W=12)}}}ft
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Then from eq. 1,
{{{L=11+12}}}
{{{highlight(L=23)}}}ft