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. 210 in.2
b. 240 in.2
c. 42 in.2
d. 420 in.2

Option A is correct

Step-by-step explanation:

Lateral surface area(L) of a regular pentagonal pyramid is given by:

where,

p represents the perimeter of the base

l is the slant height.

As per the statement:

a slant height of 14 in. and a base side length of 6 in.

⇒l = 14 in.

Perimeter of the base of regular pentagonal pyramid = 5(Side)

then;

p = 5(6) = 30 in.

Substitute given values in [1] we have;

square inches.

Therefore, the lateral area of a regular pentagonal pyramid is, 210 in^2

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.