Question

If a side, S, of the base equals 11 ft, then what is the length of the slant height, A, of the pyramid?

Answer 1

https://www31.studyisland.com/pics/140076pyramid.png

Answer 2

(The right square pyramid below has a surface area of 473 ft2.)

Answer 3

for this you'll need to know how to manipulate with equations.
the equation for the Surface are of a square pyramid is Base+(1/2)*4*S*(slant height)
4 because there are four triangles.

So then
Surface area = S^2 + 2*s*(slant height)
s^2 is the base

so know, you were give what the surface area was

473=S^2 +2*s*(slant height)

now just isolate (slant height)
and since you know the value of s (which sorry, sometimes I have capitalized it, but I am referring as s and S as the same thing, side.) just plug in and you'll get what your slant height is.