Explanation:
Lateral area of pyramid
Lateral area of squared pyramid is the sum of areas of its side faces.
[tex]\begin{gathered} L=2al \\ \text{a is base length} \\ l\text{ is slant height and it is given as,} \\ l=\sqrt[]{\frac{a^2}{4}+h^2} \\ \text{Here, h is height of pyramid.} \end{gathered}[/tex]Total surface area of pyramid
It is sum of the areas of its lateral faces and its base.
[tex]\begin{gathered} \text{Total surface area=}\frac{1}{2}pl+B \\ p\text{ is perimeter of base} \\ l\text{ is slant height} \\ B\text{ is base area} \end{gathered}[/tex]