The length of a rectangle is 3 times the width. If the length is increased by 4 cm and the width is decreased by 1cm the parimeter will be 102 cm. find the dimensions of the original rectangle.

I don't know the equation, please show the work. Not just the answer. So I can learn how to do this.
Thanks.

2 answers

you know the perimeter is

2(width + length)

So, now you are told that l = 3w and that

2((l+4)+(w-1)) = 102
since l=3w, that means

2((3w+4)+(w-1)) = 102
3w+4+w-1 = 51
4w+3 = 51
4w = 48
w = 12

Now you can figure the original length.
the real problem, as I see it, is that you don't know the formula. How can you be given a problem about perimeters and not have learned how the perimeter is figured?