# Rectangular & Circular Swimming Pools

Discussion in 'Algebra' started by nycmathguy, Apr 7, 2022.

1. ### nycmathguy

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College Algebra
Chapter 3 nycmathguy, Apr 7, 2022

2. ### MathLover1

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rectangular-shaped pool:
p=1000ft

p=2(a+b)=1000-> a+b must be 500,

so, experiment what length and the width are the best choice for pool

let a=300 and b=200
the area would be 300*200=60000ft^2

let a=400 and b=100
the area would be 400*100=40000ft^2

or
let a=450 and b=50
the area would be 450*50=22500ft^2

from experiment above, the best choice is: a=300ft and b=200ft because the area will be greatest

circular pool:

perimeter is 1000ft
p=2rpi
1000ft=2r*pi
500ft=r*pi
r=500ft/pi
r=159.16ft

then the area will be:

A=(159.16ft)^2*pi
A=79580 ft^2

as you can see, you should build a circular pool because it will have greater area than rectangular-shaped pool

MathLover1, Apr 7, 2022
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3. ### nycmathguy

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I like your reasoning to the answer. By "experiment" you mean trial and error, yes? Mira, you are ready to be a construction worker. I like swimming pools regardless of shape. The deep end is my favorite. Do you know how to swim? Do you prefer the shallow end or deep end with diving board?

nycmathguy, Apr 7, 2022
4. ### MathLover1

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yes, by "experiment" I mean trial and error
I am very familiar with construction work, actually my sons renovated our home after flood back in 2010.
this is how it was:

But my hobby is painting. I hope you see some of my paintings on the wall.

MathLover1, Apr 7, 2022
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