Question 903333
{{{l=(w+2)}}}

{{{A=l*w}}}

substitute {{{l=(w+2)}}}

{{{A=(w+2)*w}}}
{{{A=w^2+2w}}}

{{{24=w^2+2w}}}

{{{0=w^2+2w-24}}}

factor

{{{(w-4)(w+6)=0}}}

w=4 use
w=-6 reject

l=4+2=6

Answer: w=4 cm, l=6 cm

Check: {{{4*6=24}}}