Explanation:
The given figure consists of some rectangles and square making up a bigger square.
As we know that,
area of rectangle= length*breadth, so
Area of rectangle A :-
A = lb
A = (6x+1)(x+2)
A = 6x(x+2)+1(x+2)
A = 6x² + 12x + x + 2
A = 6x² + 13x + 2
Area of rectangle B :-
A = (2x+2)(3x+1)
A = 2x(3x+1)+2(3x+1)
A = 6x² + 2x + 6x + 2
A = 6x² + 8x + 2
Area of rectangle C :-
A = (x+1)(x+2+2x+2)
A = (x+1)(3x+4)
A = 3x² + 4x + 3x + 4
A = 3x² + 7x + 4
Area of rectangle D :-
A = (3x+1)(3x+1)
A = 9x² + 3x + 3x + 1
A = 9x² + 6x + 1
Area of rectangle E :-
A = (6x+1-3x-1 )(2x+2+3x+1)
A = 3x(5x+3)
A = 15x² + 9x
Hence these are the simplified expressions making up the area of the whole square .
And we are done!