The surface area is the sum of the area of all the sides.
There are 5 triangle sides with base of 3 and slant height of 11.
There is the pentagon base, which is made up of 5 triangles with base of 3 and height of 3.5
Summing these up give a total surface area of:
[tex]SA = 5(\frac{1}{2})(11)(3) + 5(\frac{1}{2})(3.5)(3) \\ \\ SA = \frac{165}{2} + \frac{52.5}{2} = \frac{217.5}{2} = 108.75[/tex]
