posted by .

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

## Similar Questions

1. ### pre calc. help!!!!!!

i am building a rectangular swimming pool. the pool is to have a surface area of 1000 ft.^2. it also has a uniform walk way of 3 ft. surrinding it. X is the lengh of one side of the pool, and Y is te lengh of the other side. A.) express …
2. ### math

The area of a rectangular swimming pool is given by 3x^2+11x+6 ft^2.One side length of the pool is given by 3x+2 feet. what is an algebriac expression for the other side length of the pool?
3. ### Algebra I

The area of a rectangular swimming pool is given by 5x^2-31x-28ft^2. One side length of the pool is given by 5x + 4 feet. What is an algebraic expression for the other side length of the pool?
4. ### algebra

The area of a rectangular swimming pool is given by 4x^2+19x+12ft^2.One side length of the pool is given by 4x + 3 feet. What is an algebraic expression for the other side length of the pool?
5. ### college algebra

The area of a rectangular swimming pool is given by 4x^2+19x+12ft^2.One side length of the pool is given by 4x + 3 feet. What is an algebraic expression for the other side length of the pool?
6. ### Intermediate Algebra

The area of a rectangular swimming pool is given by 4x^2+19x+12 ft one side length f the pool is given by 4x+3 feet. What is an algebraic expression for the other side of lenght of pool?
7. ### Math

Jennifer plans to fence a rectangular area around her rectangular swimming pool. The total area enclosed by the fence, including the pool, should be 5 times the area of the pool alone. The pool is 20 feet by 17 feet. What is the total …
8. ### Math

Jennifer plans to fence a rectangular area around her rectangular swimming pool. The total area enclosed by the fence, including the pool, should be 5 times the area of the pool alone. The pool is 20 feet by 17 feet. A.)What is the …
9. ### Algaebra

A rectangular swimming pool is 5 feet longer than it is wide. If a concrete walk 2 feet wide is placed around the pool, the area covered by the pool and the walk is 156 square feet greater than the area covered by the pool alone. What …
10. ### Math

A rectangular swimming pool is 6 meters longer than the width of the pool. A pool deck (sidewalk) that surrounds the pool is 4 meters wide (all the way around the pool). The combined area of the pool deck and pool together (outer rectangle) …

More Similar Questions