Question

1. a pyramid has a square base with an area of 169 ft². what is the perimeter of the base of the pyramid?

Explanation:

Step1: Recall the area - side relationship for a square

The area formula for a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length of the square. Given $A = 169$ ft², we solve for $s$.
\[s=\sqrt{A}\]
\[s = \sqrt{169}=13\] ft.

Step2: Calculate the perimeter of the square base

The perimeter formula for a square is $P = 4s$. Substitute $s = 13$ ft into the formula.
\[P=4\times13 = 52\] ft.

Answer:

52 ft