Answer:
[tex]A = 16 + 16\sqrt{10 }[/tex]
Step-by-step explanation:
Given dimensions of a pyramid:
Length = l = 4 feet
Width = w = 4 feet for square base (w=l)
Height = h = 6 feet
The formula to find the area of square pyramid is = [tex]A = l^{2} + 2l\sqrt{\frac{l^{2} }{4} + h^{2} }[/tex]
=> [tex]A = 4^{2} + 2(4)\sqrt{\frac{4^{2} }{4} + 6^{2} }[/tex]
=>[tex]A = 16 + 8\sqrt{{4 + 36 }[/tex]
=> [tex]A = 16 + 8\sqrt{{40 }[/tex]
=>[tex]A = 16 + 8\sqrt{{2^{2} *10 }[/tex]
=> [tex]A = 16 + 16\sqrt{10 }[/tex]
