Answer: [tex]4\sqrt{13}[/tex]
Step-by-step explanation:
The formula for calculate the lateral area of regular pyramid is:
[tex]LA=\frac{1}{2}pl[/tex]
Where p is the perimeter of the base and l is the slant height.
Calculate the slant height with Pythagorean Theorem:
[tex]l=\sqrt{3^2+2^2}=\sqrt{13}[/tex]
The perimeter is:
[tex]p=4*2=8[/tex]
Then the result is:
[tex]LA=\frac{1}{2}8*\sqrt{13}=4\sqrt{13}[/tex]
