A dog trainer is fencing in an enclosure, represented by the shaded region in the diagram. The trainer will also have two square-chaped storage units on either side of the enclosure to store equipment and other materials. She can make the enclosure and storage units as wide as she wants, but she can't exceed 100 feet in total length.

A company sells rectangular vases, with dimensions of 2 inches by 3 inches by 4 inches. There are two options for boxes that they can use to ship. Box One is a 4-inch cube and costs $1.00 per box, but requires foam padding at $0.05 per cubic inch. Box Two costs $3.25 and does not require any foam padding. Which box is the most cost effective for the company?

The United States Postal Service ships a package under large-package rates if the sum of the Tength and the girth of the package is greater than 84 inches and less than or equal to 108 inches. The "length" of the package is considered to be the length of its longest side, and the "girth" of the package is the distance around the package perpendicular to its length. Fran wants to ship packages under the USPS large-package rates. Her package is a rectangular solid (see picture) whose length is 40 inches. What is the largest volume that her package can have?

Suppose you use exactly 222 feet of wire fencing to enclose a rectangular grazing area for your goats. If the grazing area is half as long as it is wide, find its dimensions. Length: Width: FINISH