Asquare pyramid is shown. what is the surface area? a square based pyramid, with bases labeled 2.5 centimeters and side length of triangle labeled 5 centimeters. 15.25 cm2 15.625 cm2 31.25 cm2 62.625 cm2

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

answ5

step-by-step explanation:

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the answer is b