First of all, this is a square with a side length of (a+b).
The formula of square area is side length * side length, that is, (a+b)?
And there are four small squares in the picture. ab and B are in them? ,a? Ab actually represents the area of four rectangles, namely, two rectangles with length and width of A and B, a square with side length of A and a square with side length of B..
The sum of the areas of four rectangles =ab+b? +a? +ab=a? +b? +2ab=(a+b)? = area of a square with a side length of (a+b)
So choose C.