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Emma is going camping. Each side triangle on her tent is 5 feet tall the square base is 4 feet wide what is the surface area of her tent?

Respuesta :

Answer:

The surface area of her tent = 36.661 ft²

Step-by-step explanation:

∵ The tent is shaped square pyramid without base

∴ The tent has 4 triangular faces

∴ Its surface area = area of each triangular face × 4

∵ The triangular face has base of length 4ft and 2 equal sides of

   length 5ft

∴ The height of the Δ = [tex]\sqrt{(5)^{2}-(\frac{4}{2})^{2}} =\sqrt{21}[/tex]

∴ Its surface area = 4 × [tex]\frac{1}{2}(4)(\sqrt{21}) =[/tex] = 36.661 ft²

Answer:

3.661 sq feet

Step-by-step explanation: