himawarilope himawarilope
  • 08-02-2022
  • Mathematics
contestada

5. A square pyramid has a slant height of 5 meters. The perimeter of the base is 32 meters. Find the surface area of the pyramid.

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jdoe0001 jdoe0001
  • 08-02-2022

Check the picture below.

so the pyramid is really just 4 triangular faces with a base of 8 and a height of 5 and an 8x8 square at the bottom.

[tex]\stackrel{\textit{\large Areas}}{\stackrel{base}{(8\cdot 8)}~~ +~~\stackrel{4~triangles}{4\left[\cfrac{1}{2}(8)(5) \right]}}\implies64+20\implies 84[/tex]

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good job