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

(x−5) ^2

Explanation:

Answer 2

(x+5) m

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=√(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.