Answer:
200 square feet
Step-by-step explanation:
The formula for the lateral surface area of a square pyramid is [tex]a\sqrt{a^2+4h^2}[/tex], where a is the side length and h is the height of the pyramid. The first step is therefore to find the height of the pyramid. Using the pythagorean theorem, you can find that it is [tex]\sqrt{10^2-5^2}=5\sqrt{3}[/tex]. Plugging in our known values into the equation, you get [tex]10\sqrt{10^2+4(5\sqrt{3})^2}=10\sqrt{100+300}=10\cdot 20=200[/tex]. Hope this helps!
