Josh is planning a trip to the Dominican republic. He needs at least $1,200 cover airfare and his hotel. Josh has $800 and makes $500 each week right in any quality for the number of weeks he has to work to afford his vacation.

The equation for for perimeter of a rectangle is 
2w + 2L = 154 meters

and we know that 
w = .4L 

so all we have to do is plug in what we know 

2(.4L) + 2L = 154

.8L + 2L = 154 

2.8L = 154
L = 55

now we know L we can solve for w  with our first equation

2w + 2(55) = 154

2w  = 44
w = 22

so the length is 55 and our width is 22. 

Let check 
55 *.4 = 22 so we are correct.