A Piece of Rectangular Sheet Metal Is 21 Inches Wide

question 13

Multiple Choice

A piece of rectangular sheet metal is 21 inches wide. It is to be made into a rain gutter by turning up equal edges to form parallel sides. Let x represent the length of each of the parallel sides. For what value of x will the area of
The cross section be a maximum (and thus maximize the amount of water that the gutter will hold) ? If necessary,
Round to 2 decimal places.

• A) 42 in.
• B) 84 in.
• C) 10.5 in.
• D) 5.25 in.

---

Definitions:

Analytically

In a manner that involves the separation of a whole into its components for individual examination; logically and methodically.

Conceptual Skill

The ability to think analytically to diagnose and solve complex problems.

Complex Problems

Issues or situations that are multifaceted, involve many variables, and require nuanced solutions often beyond straightforward fixes.

Critical Thinking

The intellectually disciplined process of actively analyzing, synthesizing, and evaluating information gathered from observation, experience, reflection, or communication.