Question

You are making poster board boundary markers in the shape of square pyramids for a relay race. If you are including a 10-inch square as the bottom and you want the slant height to be 12 inches, how much poster board do you need?

Answer 1

They're looking for the surface area of a square pyramid.

Base Side = S = 10
Slant Height = L = 12
Base Area = s^2
Triangle Area = (1/2)base*height = (1/2)S*L

So the total surface area = Base Area + 4*Triangle Area (since there's 4 sides on a square pyramid).

That would be:
Surface Area = s^2+4(1/2)SL = S^2+2SL. Solve!

Answer 2

thank you