Question

What is the surface area of the square pyramid?

Answer 1

Answer:

D

Step-by-step explanation:

The formula for the surface area of a square pyramid is $a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}$, where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:

$75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=$

$5625+150\cdot \sqrt{9506.25}=$

$5625+14625=$

$20,250$  square yards, or answer choice D.

Hope this helps!