of all rectangles with area 441, which one has the minimum perimeter? let p and w be the perimeter and…

of all rectangles with area 441, which one has the minimum perimeter? let p and w be the perimeter and width, respectively, of the rectangle. write the objective function in terms of p and w. the dimensions are unequal. p = 2w + 882/w (type an expression.) the interval of interest of the objective function is . (simplify your answer. type your answer in interval notation.)

of all rectangles with area 441, which one has the minimum perimeter? let p and w be the perimeter and width, respectively, of the rectangle. write the objective function in terms of p and w. the dimensions are unequal. p = 2w + 882/w (type an expression.) the interval of interest of the objective function is . (simplify your answer. type your answer in interval notation.)

Answer

Explanation:

Step1: Analyze the domain of width

The width (w) of a rectangle must be a positive - valued quantity. Because a negative or zero width does not make sense in the context of a geometric rectangle.

Step2: Write the interval

The interval of interest for the width (w) (and thus for the objective function (P(w)=2w + \frac{882}{w})) is the set of all positive real numbers. In interval notation, this is ((0,\infty)).

Answer:

((0,\infty))