Answer: 448 square centimeters
Step-by-step explanation:
The lateral surface area of a square pyramid is given by :-
[tex]L=\dfrac{1}{2}Pl[/tex], where P is the perimeter of the base and l is the slant height.
Given: The slant height of the pyramid = 20 cm
Side length = 11.2 cm
The perimeter of the square pyramid =[tex]4(side)=4(11.2)=44.8\ cm[/tex]
Now, the lateral surface area of a square pyramid will be :-
[tex]L=\dfrac{1}{2}(44.8)(20)\\\\\Rightarrow\ L=448\ cm^2[/tex]