SOLUTION: I will first describe the picture. There is a rectangle, ABCD with the long side labeled y and short side labeled x. Here is the question. If the perimeter of the rectangle ABCD

Algebra ->  Rectangles -> SOLUTION: I will first describe the picture. There is a rectangle, ABCD with the long side labeled y and short side labeled x. Here is the question. If the perimeter of the rectangle ABCD       Log On


   



Question 158677: I will first describe the picture. There is a rectangle, ABCD with the long side labeled y and short side labeled x.
Here is the question.
If the perimeter of the rectangle ABCD is equal to p, and x=1/5 y, what is the value of y in terms of p?
I know the answer is (5p)/(12) but am not sure how this answer is derived?
Any ideas?
Thanks!

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x=y/5
p=2x+2y
.
p=2y/5 + 2y Substitute for x.
5p=2y+10y Multiply each side by 5 (LCM).
12y=5p
y=5p/12
.
Ed