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If you break it up into faces you have one square and 4 identical triangles. The square has an area if 10 x 10 = 100

Using the triangle formula if 0.5 x base x height we get 0.5 x 10 x 12 = 60

so the total area is 60 x 4 + 100 = 340cm squared

Improved Answer:-

The pyramid has a square base and four isosceles triangles so use Pythagoras' theorem to find the height of each triangle from its vertex perpendicular to its base:

122-52 = 119 and the square root of this equals the height

Total area = (4*1/2*base *height)+base2

Area = (4*1/2*10*the square root of 119)+102

Area = 318.17424243 square cm

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