Question

the area of a square is given by 4 x square + 12 X Y + 9 y square find the side of the square​

Answer 1

Answer:

(2x + 3y) units

Step-by-step explanation:

Let the length of the square be L units.

     Area of the square = L² units. = 4x² + 12xy + 9y²

 4x² + 12xy + 9y²  can also be written as  (2x)² + (2 * 2x * 3y) + (3y)²

⇒   Area of the square = L² units. = (2x)² + (2 * 2x * 3y) + (3y)²

Comparing (a + b)² = a² + 2ab + b²to the above equation, we get

 a = 2x and b = 3y

So, Area of the square = L² units. = (2x + 3y)²  

∴The side of the square  L units = (2x + 3y) units