The length of the square is 2.1 units.
Data;
- length = l
- new length = (5+l)
- Area = a
- new area = (a + 4)
To solve this problem, we can write out an equation for this.
Perimeter of a Square
The perimeter of a square is given as
[tex]p = 4l\\l = length[/tex]
Area of a Square
The area of a square is given as
[tex]A = l^2\\l = length[/tex]
From the data given,
[tex]a + 4 = (l+5)(l+5)\\a = l^2\\l^2 + 4 = l^2 + 10l + 5\\10l = -21\\l = -2.1\\l = 2.1[/tex]
The length of the sides of the original square is equal to 2.1
NB; The length can never have a negative value.
Learn more on square here;
https://brainly.com/question/24487155
