SOLUTION: If the area of a rectangle can be represented by the polynomial x^2-8x+15, determine the length, width and area of the rectangle.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If the area of a rectangle can be represented by the polynomial x^2-8x+15, determine the length, width and area of the rectangle.      Log On


   

Question 717104: If the area of a rectangle can be represented by the polynomial x^2-8x+15, determine the length, width and area of the rectangle.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If the area of a rectangle can be represented by the polynomial x^2-8x+15, determine the length, width and area of the rectangle.
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x%5E2+-+8x+%2B+15+=+%28x-3%29%2A%28x-5%29
--> a 3 by 5 rectangle.
--> area = 15
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However, there are an infinite # of solutions.
eg,
length = (x^2-8x+15)/7, width = 7
length = (x^2-8x+15), width = 1
length = (x^2-8x+15)/y, width = y, y is any number
The area cannot be determined.