Question

what is the formula for the lateral area of a regular pyramid if p = z and l = q?
○ la = zh
○ la = \\(\frac{1}{3}\\)bh
○ la = bh
○ la = \\(\frac{1}{2}\\)zq
○ la = 2πrh

Explanation:

Step1: Recall lateral area formula for regular pyramid

The formula for the lateral area (\(LA\)) of a regular pyramid is \(LA=\frac{1}{2}pl\), where \(p\) is the perimeter of the base and \(l\) is the slant height.

Step2: Substitute given values

We are given that \(p = z\) and \(l=q\). Substitute these into the formula: \(LA=\frac{1}{2}zq\).

Answer:

\(LA = \frac{1}{2}zq\) (the option with this formula)