Answer:
52 ft
Explanation:
Given that:
We have an pyramid with square base.
Area of base of the square pyramid = 169
![ft^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/wtexvtcjkxs5ltvf06sas0k6db76wd4ntf.png)
To find:
Perimeter of the base of pyramid = ?
Solution:
First of all, let us have a look at the formula of area of a square shape.
![Area = Side * Side](https://img.qammunity.org/2021/formulas/mathematics/college/6bxid0bvuknn4ohyhyls4adecunc7oybrv.png)
Let the side be equal to
ft.
Putting the given values in the formula:
![169 = a^2\\\Rightarrow a =√(169)\\\Rightarrow \bold{a = 13\ ft}](https://img.qammunity.org/2021/formulas/mathematics/college/dwm4rgdu8m2kj94zpjo98r1pbbs3fvx3fp.png)
Now, let us have a look at the formula for perimeter of square.
Perimeter of a square shape = 4
Side
Perimeter =
![4* 13 = \bold{52\ ft}](https://img.qammunity.org/2021/formulas/mathematics/college/uy1e0p11js25qp1s1upcx7jw7k53f2wn3h.png)