Question

The square below has an area of x² + 4x + 4 square

meters.
What expression represents the length of one side of
the square?

Answer 1

x + 2

Explanation:

If A = area of the square = x^2 + 4x + 4, then the length of one side of this square is the square root of A, or the square root of the given trinomial, which is x + 2.

Note that (x + 2)^2 = x^2 + 4x + 4.

Answer 2

x + 2

Explanation:

Remember that area is length times width. If that is the case, that means we expanded an equation to find the area.

To find the sides again, we simply just factor the quadratic. The factored form turns out to be (x + 2)². The question asks for one side of the square, so the answer would be x + 2.