SOLUTION: A square has an area of 9x^2+12xy+4y^2. What is the length of a side of the square? I know the formula is A=s^4...however I think that this answer is 3x+2y? Is that right by any

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: A square has an area of 9x^2+12xy+4y^2. What is the length of a side of the square? I know the formula is A=s^4...however I think that this answer is 3x+2y? Is that right by any      Log On

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Question 28315: A square has an area of 9x^2+12xy+4y^2. What is the length of a side of the square?
I know the formula is A=s^4...however I think that this answer is 3x+2y? Is that right by any chance?
Found 2 solutions by josmiceli, venugopalramana:
Answer by josmiceli(9679) About Me  (Show Source):
You can put this solution on YOUR website!
Looks right to me
A = (side)^2
side+=+abs%28sqrt%28A%29%29
The absolute value means you don't want the negative square root, just the positive
(-3x- 2y)(-3x - 2y) = A the same as (3x + 2y)(3x + 2y) = A
Looks like you did the math right

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
A square has an area of 9x^2+12xy+4y^2. What is the length of a side of the square?
I know the formula is A=s^4...
NO IT IS A= S^2...NOT S^4..WHERE S IS THE SIDE.
however I think that this answer is 3x+2y? Is that right by any chance?
VERY CORRECT ....IT IS SQUARE ROOT OF
9x^2+12xy+4y^2.=(3X)^2+(2Y)^2+2*(3X)*(2Y)=(3X+2Y)^2
HENCE S=3X+2Y....GOOD GUESS YOU MADE..