Question 864319
w and L width and length

{{{L=w+7}}} and {{{wL=228}}} according to what's given.
{{{w(w+7)=228}}}
{{{w^2+7w-228=0}}}


228=114*2=57*2*2=3*19*2*2, find 12 and 19 a useful factorization


{{{(w-12)(w+19)=0}}}
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{{{highlight(w=12)}}} is sensible for width;
{{{L=12+7=highlight(19=L)}}}.



This question could also first be solved completely in symbols.