Question 1168687
Dimensions  2w+7 and w


{{{w(2w+7)=99}}}


?
{{{2w(2w+7)=2*99}}}
{{{(2w)(2w+7)=2*99=198}}}


Factorization could be tried.
Factors differing by 7?

9 & 22
11 & 18    --------------------  Choose this.


{{{2w+7=18}}}
{{{2w=11}}}
{{{w=11/2}}}
{{{highlight(w=5&1/2)}}}--------width


{{{highlight(18)}}}-----------length