The square below has an area of x^2+10x+25 square meters. What expression represents the length of one side of the square?

Respuesta :

Answer:

(x+5) m

Step-by-step explanation:

Given that,

The area of a square shape, [tex]x^2+10x+25[/tex]

We need to find the expression for the length of one side of the square.

The area of a square shaped object is given by :

[tex]s=x^2[/tex]

x is side of the square

[tex]s=\sqrt{A} \\\\s^2=x^2+10x+25\\\\=x^2+5x+5x+25\\\\=x(x+5)+5(x+5)\\\\=(x+5)^2\\\\s=(x+5)[/tex]

So, the sides of the square is (x+5) m.

Answer:

(x−5) ^2

Step-by-step explanation: