Do you up dog Suppose you have 52 feet of fencing to enclose a rectangular dog pen The function mc009-1jpg where x width gives you the area of the dog pen in square feet What width gives you?

Answer 1

To maximize the area of a rectangular dog pen with 52 feet of Fencing, you can set up the equation for the perimeter: (2x + 2y = 52), which simplifies to (x + y = 26). The area (A) can be expressed as (A = x \cdot y), where (y = 26 - x). Substituting gives (A = x(26 - x) = 26x - x^2). This is a quadratic function that reaches its maximum when (x = 13) feet, making the width that maximizes the area 13 feet.