Question 1017898
Once we have {{{x(4x+9)=198}}} ,
we can find the answer the fifth grader's way,
much to the dismay of the algebra teacher who wants to see quadratic equations mentioned.
We can just list factors of {{{198}}} ,
{{{198=1*198}}}
{{{198=2*99}}}
{{{198=3*66}}}
{{{198=6*33}}}
{{{198=9*22}}}
{{{198=11=18}}} ,
and look for a product pair that could be {{{x(4x+9)}}} .
{{{9*22}}} is too far down because {{{22<4*9=36}}} .
Could it be that {{{x=6}}} ?
If {{{x=6}}}, then {{{4x+9=4*6+9=24+9=33}}} .
So, {{{system(x=6,4x+9=33)}}} ;
the length is 33cm and the width is 6cm.