quadratic word problems
posted by brittany .
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
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