Question

The square below has an area of 16+8x+x^2 square meters. What expression represents the length of one side of the square?

a) 4 + 4x + x
b) 8x
c) 4 + x
d) 4x + 4x^2

Answer 1

The expression that represents the length of one side of the square is 4 + 4x + x (option a). To find the length of one side, take the square root of the given area expression. The square root of 16+8x+x^2 is 4 + x meters.

Step-by-step explanation:

The expression that represents the length of one side of the square is 4 + 4x + x (option a).

To find the length of one side, we need to take the square root of the area. In this case, the area is given as 16 + 8x + x^2 square meters.

Taking the square root of this expression gives us (4 + x) meters, which matches option a.