Final answer:
The surface area of a square pyramid can be found by adding the areas of the base and the four triangular faces.
Step-by-step explanation:
The surface area of a square pyramid can be found by adding the areas of the base and the four triangular faces.
The formula for the surface area of a square pyramid is A = s² + 2sl, where A is the surface area, s is the length of one side of the base, and l is the slant height.
In this case, since the base is a square, the length of one side is equal to the base length. Let's assume the base length is x. The slant height can be found using the Pythagorean theorem: l = sqrt(x² + (x/2)²). Substituting this value into the formula, we have A = x² + 2x(sqrt(x² + (x/2)²)).
To find the surface area, you can substitute the value of x (the base length) into the formula and calculate the result.