Respuesta :

864 units^2   

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Answer:

[tex]\boxed{B\:\:\:864\:units^2}[/tex]

Step-by-step explanation:

The surface area of the regular pyramid is the sum of the area of the 4 triangular faces and the area of the square base.


The area of the triangular faces is


[tex]=4\times \frac{1}{2}\times base\times height[/tex]


[tex]=4\times \frac{1}{2}\times 16\times 19[/tex]


[tex]=2\times 16\times 19[/tex]


[tex]=608\:units^2[/tex]


The area of the square base


[tex]=l^2[/tex]


[tex]=16^2[/tex]


[tex]=256\:units^2[/tex]


The surface area of the regular polygon is therefore;

[tex]=608+256[/tex]


[tex]=864\:units^2[/tex]