Use the drawing to explain the following theorem.“The lateral area L of a regular pyramid with slant height of length l and perimeter P for the base is given by 
.”[Note: Except for the number of sides for the base, the proof (argument) will not changefor another regular polygon.]Given: Regular polygon with slant height of length land length s for each side of the baseProve:
What will be an ideal response?
length l while the corresponding base length is s. Thus, the area of each of the n faces is
. The lateral area L is the sum of areas of all lateral faces. That is,
,
Because 
, the formula for the lateral area becomes 
.
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