Question 7515
We know that the length is 5 cm greater than it's width. 
Then width must be "x" and length must be "x+5"


Using P=2L+2L


P=2(x+5)+2(x)


We also know that P=106cm
106=2(x+5)+2(x)
106=2x+10+2x
106=4x+10


Subtract 10 from both sides
(106)-10=(4x+10)-10
96=4x


Divide 4 from both sides
{{{96/4}}}={{{4x/4}}}
24=x

Width=24 cm
Length=x+5=24+5=29 cm