Question 1037144
w width
L length
L=(3/2)w  for 50% greater


Area of just the pool, top surface: {{{wL}}}

Area of combined pool and path: {{{(w+2*1)(L+2*1)}}}

JUST the path area around pool: {{{(w+2)(L+2)-wL=44}}}



Working with the path area equation may be easiest to start the algebra steps.

{{{wL+2L+2w+4-wL=44}}}
{{{2L+2w+4-44=0}}}
{{{L+w+2-22=0}}}
{{{L+w-20=0}}}
Now is a good place to substitute for L.
{{{(3/2)w+w-20=0}}}
{{{3w+2w-40=0}}}
{{{5w-40=0}}}
{{{w-8=0}}}
{{{highlight(w=8)}}}-------------{{{highlight(L=12)}}}



Pool top surface area is 96 square meters.