http://prntscr.com/ar03hr please help and take me through the steps to solve this

Question

mythorius · Answer

@KamiBug can you help?

kamibug · Answer

The general formula for the total surface area of a regular pyramid is T.S.A.=12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.

kamibug · Answer

So first find the values of p, l, and B. :)
p is the perimeter of the base. Which of the given numbers on the pyramid can you use to find that?

mythorius · Answer

2

kamibug · Answer

Right. So four sides... 2*4 = p

mythorius · Answer

8

kamibug · Answer

Right - we have now A = 12(8)l + B
l = slant height, do you know how we can find it ?:)

mythorius · Answer

The slant height is the hypotenuse of the right triangle formed by the height and half the base length.

kamibug · Answer

Perfect ! <3 So you can use the Pythagorean theorem. What do you get?

mythorius · Answer

3^2 + 1^2 = (hyp)^2

kamibug · Answer

Right. Solve that for hypotenuse and that'll be your slant height! :)

mythorius · Answer

sqrt 10

kamibug · Answer

Good job :3 
So sqrt10 = l
We now got...
A = 12(8)(sqrt10) + B
Remember B is the area of the base = ?

mythorius · Answer

4

kamibug · Answer

YAY
$$Total ~Surface ~Area = 12(8)(\sqrt{10}) + 4$$

mythorius · Answer

Thank you love :D