SOLUTION: The length of a rectangle is 2cm more than 3 times its width. If the perimeter of the rectangle is 28cm, what are its dimensions?

Algebra ->  Rectangles -> SOLUTION: The length of a rectangle is 2cm more than 3 times its width. If the perimeter of the rectangle is 28cm, what are its dimensions?      Log On


   



Question 875033: The length of a rectangle is 2cm more than 3 times its width. If the perimeter of the rectangle is 28cm, what are its dimensions?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
L length
w width
L....what if the situation were,
The length of a rectangle is k cm more than m times its width. If the perimeter of the rectangle is p cm, what are its dimensions?

L=mw%2Bk and 2w%2B2L=p.
You KNOW that p is even, so say w%2BL=p%2F2.
w%2Bmw%2Bk=p%2F2
w%2Bmw=p%2F2-k
w%281%2Bm%29=p%2F2-k
w%282%2Bm%29=p%2F2-2k%2F2=%28p-2k%29%2F2
w=%28p-2k%29%2F%282%282%2Bm%29%29
highlight%28w=%28p-2k%29%2F%282m%2B4%29%29.
Use this w to solve or evaluate highlight%28L=mw%2Bk%29.