Respuesta :

Answer:

[tex]x^2=3x(x-2)[/tex]

Step-by-step explanation:

Let length of square be "x"

According to problem,

Length of Rectangle is 3 times, so

Length of Rectangle = 3x

Also,

Width of rectangle is 2 units less than length of square, so

Width of Rectangle = x - 2

Now, area of square is  Side * Side

and

area of rectangle = length * width

Hence,

Area of Square = [tex]x^2[/tex]

Area of Rectangle = [tex](3x)(x-2)[/tex]

If they are equal, we can write:

[tex]x^2=3x(x-2)[/tex]