SOLUTION: i have a question on a story problem? a rectangular swimming pool is surrounded by a cement walk of uniforn width.let x represent this width.. The outer dimensions of the wark a

Question 119167This question is from textbook
: i have a question on a story problem?
a rectangular swimming pool is surrounded by a cement walk of uniforn width.let x represent this width..
The outer dimensions of the wark are 16m by 22m and the area of the walk alone is 192m^2. What is the width of the walk?
16x + 22y=192
then what?or isnt that even right This question is from textbook

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
With this type of problem, always try to draw a picture and figure
out as much as you can just by looking at it and labeling parts
of it. The dimensions of the area including the walk are 16m x 22m
Let A = Area inluding walk

The area of the walk alone is 192 m2
From this the area of the pool is
m2
Looking at my drawing,

I notice that and so, I
use these numbers as roots

and solve the equation
I can discard because that's the size of
the width of the pool including the walk, so
The width of the walk is 3m answer
check answer

OK

RELATED QUESTIONS
please help me on a story problem: a rectangular swimming pool is surrounded by a cement (answered by jim_thompson5910)

The length of a rectangular swimming pool is twice its width. The pool is surrounded by a (answered by ankor@dixie-net.com)

A rectangular pool is surrounded by a cement walk of uniform width. if the pool measures... (answered by josmiceli)

A rectangular swimming pool is 3 times as long as it is wide. It is surrounded by a... (answered by Boreal)

A swimming pool 6m wide and 10m long is to be surrounded by a cement path of uniform... (answered by richwmiller)

Please help me solve this equation: A rectangular swimming pool is 4m longer than it... (answered by checkley77)