The length of a side of square is 5.
Step-by-step explanation:
Given,
Area of square = a²
Perimeter of square = 4a
According to given statement;
Area of square = Perimeter + 5
[tex]a^2=4a+5\\a^2-4a-5=0[/tex]
Factorizing the equation;
[tex]a^2-5a+a-5=0\\a(a-5)+1(a-5)=0\\(a-5)(a+1)=0[/tex]
Either,
a-5=0 => a=5
Or,
a+1=0 => a= -1
As length of a side cannot be negative, therefore,
Length of a side of square = 5
The length of a side of square is 5.
Keywords: area, perimeter
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