How do you find the slant height of a pyramid, with the surface area, length of one side, number of sides and apothem? 

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I figured it out. Try using algebra and solve for L. Do this using this formula. 1/2p(L +a) = SA where p is perimeter, L is slant height, and a is apothem, and SA is your Surface Area. Then just fill in your numbers.  like this: p = 32 L=L and a = 4.8, SA= 288  fill it in: 1/2(32)(L +4.8) = 288 16(L+4.8)=288 16L + 76.8=288 -76.8 of both sides and you get 16L = 211.2; then divide 16 from both sides to get. L=13.2 then substitute it in your formula-1/2p(L+a)=288. Hope it works for you