a regular pyramid has a lateral area of 468 square centimeters and a slant height of 9 centimeters. Find the perimeter of the base of this pyramid.
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Step-by-step explanation:
The general formula for the lateral surface area of a regular pyramid is LSA=21Pl where P represents the perimeter of the base and l is the slant height.
Since the lateral surface area of the pyramid is P=360 m2 and the slant height is l=18 m, therefore, the perimeter of the pyramid is:
LSA=21Pl⇒360=21×P×18⇒360=9P⇒P=9360=40
Hence, the perimeter of the pyramid is 40 m2
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