Question 406016
If the coefficient of the ratio  is  x, then the length is 2x cm, the width is 3x cm. Perimeter of the rectangle is {{{P=2(L+W)}}}, when L - length, W - width/
So perimeter {{{P=2(2x+3x)=2*(5x)=10x}}}cm
Equation
{{{10x=60}}}
{{{x=60/10}}}
{{{x=6}}}
The length is {{{2x=2*6=12}}}cm, the width is {{{3x=3*6=18}}} cm
Answer: 12 cm and 18 cm.