SOLUTION: I never received a confirmation email about my question so here it is again: A particular rectangular swimming pool is twice as long as it is wide. There is a concrete walkway

Question 778633: I never received a confirmation email about my question so here it is again:
A particular rectangular swimming pool is twice as long as it is wide. There is a concrete walkway around the perimeter of the pool. The walkway is a constant 2 feet wide. The walkway has an area of 100 square feet. What are the dimensions of the pool?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A particular rectangular swimming pool is twice as long as it is wide.
There is a concrete walkway around the perimeter of the pool.
The walkway is a constant 2 feet wide.
The walkway has an area of 100 square feet.
What are the dimensions of the pool?
:
let L = the length of the pool
let w = the width
:
A 2 ft walkway adds 4 ft to the length & width giving us the overall dimensions
Overall area - pool area = 100 sq ft, (area of the walkway)
(L+4)(w+4) - L*W = 100
L = 2w, replace L with 2w
(2w+4)(w+4) = 2w*w = 100
FOIL
2w^2 + 8w + 4w + 16 - 2w^2 = 100
the 2w^2's cancel leaving us with
12w = 100 - 16
12w = 84
w = 84/12
w = 7 ft is the width of the pool
therefore
2(7) = 14 ft is the length of the pool
:
:
See if this checks out, find the overall area and the area of the pool
18*11 = 198
14*7 = 98
---------------
diff: 100 sq/ft, the area of the walkway
RELATED QUESTIONS
A rectangular swimming pool is surrounded by a walk. The area of the pool is 323 sq ft,... (answered by scott8148)

My sister needs me to help her with a problem but i have not done math in a long time so... (answered by josmiceli)

This is more like math-language problem of mine rather than actual math. The question... (answered by ikleyn)

Hello! I just wrote my Anatomy and Physiology test on Monday and I just received my... (answered by ankor@dixie-net.com)

i need your help with word problem i never seem to understand the this one in particular... (answered by solver91311)

I asked this question already, but i never got an email back that it was submitted, so... (answered by richwmiller,ewatrrr)

breadth of a rectangular swimming pool is 43m.The length is longer than the breadth by... (answered by MathLover1)

I entered the wrong email address, so if this one's probably out in cyberspace somewhere. (answered by ichudov)

My question is below, I feel kind of dumb asking it, but it has me puzzled. A... (answered by checkley71,psbhowmick)