Question 1134413
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Slant height to the base edge of 10 units is  {{{sqrt(13^2+12^2)}}} = 17.69 units long.



Slant height to the base edge of 24 units is  {{{sqrt(13^2+5^2)}}} = 13.93 units long.



The lateral surface area is  {{{((1/2)*10*17.69 + (1/2)*24*13.93)*2}}} = 511.22 square units.


To get the total surface area of the pyramid, add to it the area of the base  10*24 = 240 square units.
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