a square pyramid has an altitude measuring 5 cm and a side of its bases measuring 6 cm. find the lateral area of the pyramid.

The lateral area does not include the bottom. Each triangular side has a height (from bottom edge to apex) of sqrt(3^2 + 5^2) = sqrt34

The lateral area of four sides is
4*(1/2)*6*sqrt34 = 12 sqrt34= 69.97 cm^2