Question

The area of a square is 5 far more than the perimeter. Find the length of a side.

Answer 1

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

$a^2=4a+5\\a^2-4a-5=0$

Factorizing the equation;

$a^2-5a+a-5=0\\a(a-5)+1(a-5)=0\\(a-5)(a+1)=0$

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

Learn more about perimeter at:

• brainly.com/question/11016712
• brainly.com/question/11108818

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