Question

a regular pentagons area, when used as the base of a prism, can be calculated using
\\( \frac { 1 } { 2 } \\)
times the
\\( \frac { 1 } { 2 } \\)
times the apothem.

Explanation:

Step1: Recall the formula for the area of a regular polygon

The formula for the area of a regular polygon is \(A=\frac{1}{2}Pa\), where \(P\) is the perimeter of the polygon and \(a\) is the apothem.

Step2: Apply the formula to a regular pentagon (a type of regular polygon)

When the regular pentagon is used as the base of a prism, the formula for its area (which is the formula for the area of a regular polygon) is \(\frac{1}{2}\) times the perimeter times the apothem.

Answer:

perimeter