Respuesta :

Answer:

[tex]51m^2[/tex]

Step-by-step explanation:

The lateral area of the square pyramid is given by;

[tex]A_L=a\sqrt{a^2+4h^2}[/tex]

where [tex]a=4m,h=6m[/tex].

We substitute the values to obtain;

[tex]A_L=4\sqrt{4^2+4(6^2)}[/tex]

[tex]A_L=4\sqrt{160}[/tex]

[tex]A_L=16\sqrt{10}[/tex]

[tex]A_L=50.5964[/tex]

[tex]A_L\approx 51m^2[/tex]

Answer:

51m

Step-by-step explanation: