Question 300981
Let Width be represented by w.
Let Length be represented by l
Given {{{l = w + 11}}}
{{{Area = Length * Width}}} = {{{276}}}
{{{276 = l * w}}}
{{{276 = (w+11)*w}}}
{{{276 = w^2 + 11w}}}
{{{0 = w^2 + 11w - 276}}}
{{{0 = (w-12)(w+23)}}}
so either w = 12 or w = -23
Since w cannot be -23, then w = 12
l = w+11 = 23