Area of a square question?

[Flower9]

A square has an area of 16x^2+8xy+y^2. What is the length of a side of the square?

I wanted to say it was 4x+y?

Thank you for any help explaining this to me if this is wrong! :shock:

 

[stapel]

I wanted to say it was 4x+y?

Since the area A of a square with side length s is A = s², and since you are given here that A = 16x² + 8xy + y², you were exactly correct to find the perfect-square form and take the binomial as the side-length expression.

. . . . .A = s²

. . . . .A = 16x² + 8xy + y²

. . .. . . .= (4x + y)²

. . .. . . .= s²

. . . . .s = 4x + y

Good work!

Eliz.

 

[pka]

I would say that it is |4x+y|.

 

[stapel]

Well, okay; yeah, the absolute-value bars would make the answer completely correct. :wink:

Eliz.

 

[Denis]

May I counterpunch with ABS(4x + y) :roll:

 

[Guest]

May I counterpunch with ABS(4x + y) :roll:

um, what's ABS...-.-

 

[Euler]

ABS, you know, you press the ABS in your calculator and it means absolute value. Sheesh!