Question 950190
{{{A=L*W}}}
{{{L*W=51}}}
.
.
.
{{{L=2+W}}}
Substituting,
{{{(2+W)W=51}}}
{{{W^2+2W=51}}}
{{{W^2+2W+1=51+1}}}
{{{(W+1)^2=52}}}
{{{W+1=0 +- sqrt(52)}}}
{{{W=-1 +- 2sqrt(13)}}}
Only use the positive result,
{{{W=-1+2sqrt(13)}}}
So then,
{{{L=2-1 + 2sqrt(13)}}}
{{{L=1 + 2sqrt(13)}}}