# quadratic word problems

posted by
**brittany** on
.

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