Question 955329
W=breadth; L=length=W+2cm
W*L=(L+4cm)(W-3cm) Substitute for L.
W(W+2cm)=(W+2cm+4cm)(w-3cm)
{{{W^2+2Wcm=(W+6cm)(W-3cm)}}}
{{{W^2+2Wcm=W^2+3Wcm-18cm^2}}} Subtract W^2 from each side.
{{{2Wcm=3Wcm-18cm^2}}} Subtract 2Wcm from each side.
{{{0=Wcm-18cm^2}}} Add 18cm^2 to each side.
{{{18cm^2=Wcm}}} Divide each side by 1cm.
{{{18cm=W}}} ANSWER 1: The width is 18 centimeters.
L=W+2cm=18cm+2cm=20cm  ANSWER 2: The length is 20 centimeters.
CHECK:
W*L=(L+4cm)(W-3cm)
{{{(20cm)(18cm)=(24cm)(15cm)}}}
{{{360cm^2=360cm^2}}}