Determine whether \(A(3)\) is meaningful for rectangle area \(A(x)=x(x+5)\) with \(x>0\). Test the candidate against the domain, evaluate \(\text{both}~\text{side}~\text{lengths}\) and the area, and state the contextual conclusion with units.

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Yes, A(3) is meaningful because any number can be substituted into the formula x(x + 5), so the context does not matter.

No, A(3) is not meaningful because area should be positive, and using x = 3 does not guarantee that.

No, A(3) is not meaningful because an extrapolated value should never be used, even if 3 is positive.

Yes, A(3) is meaningful because 3 is in the domain x > 0 and can represent a possible side length of the rectangle.

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Curriculum context

Course: Math II
Standard: F-IF.4
Category: Functions
Domain: Interpreting Functions
Objective: Interpret key graph/table features of quadratic models in context.
Problem type: Decide whether a quadratic model's prediction is meaningful for a given input