A square has an area of x^2+4x+4 square meters. Write an expression that best represents the length of one side of the square.

You have to find the square root of x^2+4x+4, which is:
1) Rewrite x^2+4x+4 as the square of a binomial:
(x+2)^2
2) So now you know that (x+2)(x+2)=x^2+4x+4 (the area)
3) The length is x+2

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YashBhattar YashBhattar · Answer 2 · 2022-05-31T15:33:57+02:00

The expression that represents the length of one side of the square is (x+2)

What is Polynomial?

In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

What is Area?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Given,

Area of the square = [tex]x^{2} +4x+4[/tex]

Area of the square = l × l

were l is the length

Then,

[tex]x^{2} +4x+4=(x+2)(x+2)[/tex]

Hence, The expression that represents the length of one side of the square is (x+2)

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