Find the lateral area of a regular pentagonal pyramid that has a slant height of 14 in. and a base side length of 6 in . a) 20 in.2 b)240 in.2 c)42 in.2 d) 420 in.2

The lateral area of a regular pentagonal pyramid is given by formula =

where 'P' is the perimeter and 'l' is the slant height.

Perimeter of regular pentagonal pyramid = base side

=

= 30

Slant height(l) = 14 in (Given)

Substituting the value in the formula, we get

Lateral area =

= 210

Hence, the lateral area of the regular pentagonal pyramid is 210 .

Here, the first option should be 210 instead of 20.

Therefore, Option 1 is correct answer with lateral area as 210 square inches.