Posted by **brittany** on Wednesday, November 29, 2006 at 11:21pm.

a rectangular swimming pool has a perimeter of 24 feet. what should the dimesions of the pool be to create a maximum area? what would this area be?

If x is the one side's dimension, the adjacent side's dimension is 12 - x. (That makes the perimeter 24). The area is then

A = x (12 - x) = 12 x - x^2

x can take values from 0 to 12

One can use calculus or graphical means to find that the largest value of A occurs when x = 6. This corresponds to a square pool. In that case, A = 36 square feet.

find 3 consecutive integers such that the product of the second and third intege

find 3 consecutive integers such that the product of the second and third intege

find 3 consecutive integers such that the product of the second and third intege

## Answer this Question

## Related Questions

- Math - Jennifer plans to fence a rectangular area around her rectangular ...
- Algaebra - A rectangular swimming pool is 5 feet longer than it is wide. If a ...
- geometry - the perimeter of a rectangular swimming pool is 40 ft. the length of ...
- Math - Jennifer plans to fence a rectangular area around her rectangular ...
- Geometry - a rectangular swimming pool has an area of double 1500ft. The ...
- math - a swimming pool has an area of 40 square metres and a perimeter of 26 ...
- MATH - area question - I need help on where to begin with this problem. You are...
- math - a certain company makes inflatable swimming pools that come in four ...
- pre calc. help!!!!!! - i am building a rectangular swimming pool. the pool is to...
- Math - A family put a swimming pool in their backyard the rectangular backyard ...

More Related Questions