Question

the area of sq. is given by 4x^2+12xy+9y^2 .Find the side of sq

Answer 1

since it is area of square means side*side
and Area is (2x+3y)^2
so side is 2x+3y

Answer 2

Answer:

The side of the square is 2x+3y.

Step-by-step explanation:

Given : The area of the square is given by $4x^2+12xy+9y^2$

To find : The side of the square?

Solution :

The area of the square is defined as

$A=s^2$

We have given, $A=4x^2+12xy+9y^2$

Substitute,

$4x^2+12xy+9y^2=s^2$

$(2x)^2+2\times 2x\times 3y+(3y)^2=s^2$

Applying property, $a^2+2ab+b^2=(a+b)^2$

$(2x+3y)^2=s^2$

Taking root both side,

$s=2x+3y$

Therefore, The side of the square is 2x+3y.