Question

A shipping company charges an oversize package fee if the sum of the

dimensions of the package are more than 60 in. The length of the package you
want to send must be twice its width. What are the dimensions of a package
with maximum volume that avoids the oversize fee?​

Answer 1

Answer: Length = 40 inches

Width = 20 inches

Explanation:

Let the width of the package be represented by x.

Since the length of the package must be twice its width, therefore the length will be: = 2 × x = 2x

Since the sum of the dimensions equals 60 inches. This will then be:

x + 2x = 60.

3x = 60

x = 60/3

x = 20

Therefore, the width = 20 inches

Length = 2x = 2 × 20 = 40 inches

The dimensions should be 40 by 20 inches.