Question

The square below has an area of 1 + 2x + 2^2 square meters.

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

Answer 1

The expression representing length is (x+1).

Explanation:

Area of square =
`1+2x+x^2`

We need to find length of square

We know that:
`Area\:of\:Square=(Length)^(2)`

Putting values and finding length

`Area\:of\:Square=(Length)^(2) \\\\1+2x+x^2=(Length)^(2)\\(Length)^(2) = x^(2) + x +x +1\\(Length)^(2) = x( x+1) +1 (x +1)\\(Length)^(2) = (x+1)^(2)\\Length = (x+1)`

So, the expression representing length is: (x+1)