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

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) (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) (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 do this exercise in order for 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.

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