The Length of a Rectangle Is Increasing at the Rate $1 \mathrm { ft } / \mathrm { s }$

question 249

Multiple Choice

The length of a rectangle is increasing at the rate of 2 feet per second, while the width is increasing at the rate of 1 foot per second. When the length is 4 feet and the width is 3 feet, how fast is the length of the diagonal of the rectangle increasing?

• A) \(1 \mathrm { ft } / \mathrm { s }\)
• B) \(1.5 \mathrm { ft } / \mathrm { s }\)
• C) \(2.5 \mathrm { ft } / \mathrm { s }\)
• D) \(1.2 \mathrm { ft } / \mathrm { s }\)
• E)
• \(2 \mathrm { ft } / \mathrm { s }\)
• F)\(2.3 \mathrm { ft } / \mathrm { s }\)
• G) \(2.2 \mathrm { ft } / \mathrm { s }\)
• H) \(3 \mathrm { ft } / \mathrm { s }\)

---

Definitions:

Disjunction

A compound proposition containing two or more component propositions (the disjuncts) and asserting that at least one of them is true.

Disjuncts

Components of a logical disjunction, or an "or" statement, where either one or the other (or both) of the elements is true.

Assert Propositions

The act of confidently stating or affirming a propositional statement as true or valid in a discourse or argument.

Sentence

A set of words that is complete in itself, expressing a statement, question, exclamation, or command, and consisting of a main clause and sometimes one or more subordinate clauses.