Question

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.

Answer 1

Step-by-step explanation:

Answer to A square-based pyramid has a slant height of 10 meters and a side base of 16 meters. What is the surface area? by Janet Heberling https://www.quora.com/A-square-based-pyramid-has-a-slant-height-of-10-meters-and-a-side-base-of-16-meters-What-is-the-surface-area/answer/Janet-Heberling-1?ch=15&oid=253187394&share=f14a7431&srid=hdLI1f&target_type=answer

Answer 2

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.

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