Question

suppose that postal requirements specify that parcels must have length plus girth at most 84 inches. consider the problem of finding the dimensions of the square - ended rectangular package of greatest volume that is mailable. each square end is labeled with x and the remaining dimension is labeled with h. (a) express the length plus the girth in terms of x and h.

Explanation:

Step1: Define girth and length

The girth of a rectangular - box with square ends of side - length $x$ is the perimeter of the square end, which is $4x$. The length of the box is $h$.

Step2: Calculate length plus girth

The length plus the girth is the sum of the length of the box and the perimeter of the square end. So, the expression for the length plus the girth in terms of $x$ and $h$ is $4x + h$.

Answer:

$4x + h$