SOLUTION: You have 1000 feet of flexible pool siding and wish to construct a swimming pool. Experiment with rectangularshaped pools with perimeters of 1000 feet. How do their areas vary? Wha

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Question 1207474: You have 1000 feet of flexible pool siding and wish to construct a swimming pool. Experiment with rectangularshaped pools with perimeters of 1000 feet. How do their areas vary? What is the shape of the rectangle with the largest area? Now compute the area enclosed by a circular pool with a perimeter (circumference) of 1000 feet. What would be your choice of shape for the pool? If rectangular, what is your preference for dimensions? Justify your choice. If your only consideration is to have a pool that encloses the most area, what shape should you use?
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the maximum area of a rectangle with a perimeter of 1000 feet is 62500 square feet.

the maximum area of a circle with a perimeter of 1000 feet is 79577.47155 square feet.

the circular pool is your choice.

here are my calculations.



fyi, the maximum area of a rectangle is when the length is equal to the width .





Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Do you see the word  " Experiment "  in the post ?

It means that the teacher wants  highlight%28highlight%28YOU%29%29  do this exercise in order for  highlight%28highlight%28YOU%29%29  develop your brain and your skills.


Therefore,  I do not understand,  WHY  you do not play this game on your own ?

Why you re-address  YOUR  JOB  to tutors' care,  instead of doing it on your own ?


Making this experiment is needed for  YOU  to develop  YOUR  skills - not for tutors
who just developed their own skills enough many years ago.


When I read such posts, bad words come to my mind, which I should not say them out loud.


But you can guess these words.