Solve the Problem. -A Piece of Rectangular Sheet Metal Is 21 Inches Wide

question 346

Multiple Choice

Solve the problem.
-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) 10.5
• B) 5.25
• C) 84
• D) 42

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Definitions:

Biophilia

The inherent human inclination to affiliate with nature and living organisms, theorized to be a fundamental aspect of human nature.

E.O. Wilson

A renowned biologist and researcher known for his work on biodiversity and the concept of biophilia, emphasizing the interconnectedness of all living things.

Natural World

Refers to the physical world and everything in it, such as plants, animals, mountains, oceans, and stars, as opposed to human creations or the virtual world.

Habitat Reduction

The decrease in the size of natural environments that support wildlife, often due to human activities like deforestation, urbanization, and agriculture expansion.