Question

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

Answer 1

Answer:

(x+5) m

Step-by-step explanation:

Given that,

The area of a square shape, $x^2+10x+25$

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 :

$s=x^2$

x is side of the square

$s=\sqrt{A} \\\\s^2=x^2+10x+25\\\\=x^2+5x+5x+25\\\\=x(x+5)+5(x+5)\\\\=(x+5)^2\\\\s=(x+5)$

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