Question

Find the lateral area for the regular pyramid. L. A. =

Answer 1

Answer:

≈ 12.65 Square units

Step-by-step explanation:

lateral area of a pyramid may be given by the formula;

L. A = l√((w/2)² + h²) + √((l/2)² +h²)

length = 2 , width = 2 and height = 3

  = 2 √((2/2)² + 3²) + 2 √((2/2)² + 3²)

 = 2 √10 + 2√10

 = 4√10

 =  12.649

≈ 12.65 Square units

Answer 2

Answer: $4\sqrt{13}$

Step-by-step explanation:

The formula for calculate the lateral area of regular pyramid is:

$LA=\frac{1}{2}pl$

Where p is the perimeter of the base and l is the slant height.

Calculate the slant height with Pythagorean Theorem:

$l=\sqrt{3^2+2^2}=\sqrt{13}$

The perimeter is:

$p=4*2=8$

Then the result is:

$LA=\frac{1}{2}8*\sqrt{13}=4\sqrt{13}$