Answer:
25 feet.
Step-by-step explanation:
Given : The perimeter of a square is 100 feet .
The area is 625 square feet .
To Find: What is the length of each side?
Solution:
Let the side of square be x
Formula of perimeter of square = ![4 \times side](https://tex.z-dn.net/?f=4%20%5Ctimes%20side)
Perimeter of square = ![4 \times x](https://tex.z-dn.net/?f=4%20%5Ctimes%20x)
The perimeter of a square is 100 feet .
So, ![100=4 \times x](https://tex.z-dn.net/?f=100%3D4%20%5Ctimes%20x)
![\frac{100}{4}=x](https://tex.z-dn.net/?f=%5Cfrac%7B100%7D%7B4%7D%3Dx)
![25=x](https://tex.z-dn.net/?f=25%3Dx)
Area of square = ![Side^2](https://tex.z-dn.net/?f=Side%5E2)
= ![(25)^2](https://tex.z-dn.net/?f=%2825%29%5E2)
= ![625 ft^2](https://tex.z-dn.net/?f=625%20ft%5E2)
The calculated area is same as the given area.
Hence the side of the square sis 25 feet.