Question 43460
Let's represent the width as w. Therefore, the length is equal to

{{{2w + 2}}}

The perimeter of a rectangle is given by 2w + 2l, and we can equate it to 52, by the problem statement:

{{{2w + 2(2w + 2) = 52}}} 
Distributive property:
{{{2w + 4w + 4 = 52}}}
{{{6w + 4 = 52}}}
{{{6w = 52 - 4}}}
{{{6w = 48}}}
{{{w = 48/6 = 8}}}

Therefore, if width is 8 cm, the length of our rectangle is {{{2*8 + 2 = 16 + 2 = 18}}} cm.