SOLUTION: Please help me solve this... Cant figure it out.
A small square pool is surrounded by a concrete walk two meters wide. If the area of the pool is 2/3 of the total area of the pool
Algebra.Com
Question 785390: Please help me solve this... Cant figure it out.
A small square pool is surrounded by a concrete walk two meters wide. If the area of the pool is 2/3 of the total area of the pool and the walk, find the outer dimensions of the walk.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= outer side of the concrete walk (in meters)
Since there are meters of concrete walk to either side of the pool, the length of one side of the pool,
= length of the side of the pool (in meters).
= total area of the pool plus concrete walk (in square meters)
area of the pool (in square meters).
What the problem says in words translates as
Multiplying times 3 both sides of the equation, we get
Solving that quadratic equation, we get two solutions.
One is negative, which does not make sense.
The other one is
The outside dimensions of the walk are 21.8 meters by 21.8 meters.
(The pool sides measure 21.8 meters - 4 meters = 17.8 meters).
SOLVING THE QUADRATIC EQUATION:
Using the quadratic formula:
Completing the square:
RELATED QUESTIONS
A small square pool is surrounded by a concrete walk two meters wide. If the area of the... (answered by KMST)
Hello, I need help with this question:
A rectangular swimming pool 15 meters by 6... (answered by Alan3354,ikleyn)
Please help! A rectangular pool that is 20ft. long and 25ft. wide is to be surrounded by... (answered by mananth)
Please help me solve this equation:
A rectangular swimming pool is 4m longer than it... (answered by checkley77)
My question is below, I feel kind of dumb asking it, but it has me puzzled.
A... (answered by checkley71,psbhowmick)
I cant seem to figure out what to do with this problem.
Please help me solve this... (answered by scott8148)
A concrete walk of uniform width is to be built around a circular pool, as shown in the... (answered by josgarithmetic)
A concrete walk of uniform width is to be built around a circular pool, as shown in the... (answered by KMST)
Please help me solve this equation: a playground is 25m x 40m. it is surrounded by a... (answered by ptaylor)