Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.

84 squared units.

Step-by-step explanation:

In order to find the surface area of the pyramid, you use the following formula:

          (1)

b: base of the pyramid = 6

p: perimeter of the base = 6*4 = 24

s: slant height

Then, you first calculate the slant height, by using the Pythagoras' theorem:

Thus, you replace the values of b, p and s in the equation (1):

The surface area of the pyramid is 84 squared units.

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