# Write the area a of a square as a function of its perimeter p.

Area is defined as total space occupied by a surface and perimeter is defined as total length of all sides of a square

## Answer: The area of a square as a function of its perimeter p is equal to p^{2}/16

Let's express the area of square in terms of it's perimeter.

**Explanation:**

If s = side of the square

Area of the square (A) = s x s ----------------------------- (1)

Perimeter of the square (p) =4s

=> s = p/4

Putting this value of s in equation (1)

A = (p/4) × (p/4)

= p^{2}/16