Question

The square below has an area of 1+ 2x + x² square meters.

What expression represents the length of one side of the square?
Side length
1+2x+x²
Side length
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meters

Answer 1

1 + x meters.

Explanation:

A square has 4 equal sides so each side will have a length equal to the square root of the area.

Side length = √(1 + 2x + x^2)

= √(1 + x)(1 + x)

= 1 + x.