As shown in the figure, all quadrangles are squares and all triangles are right triangles. The side length of the largest square is a. then the sum of the areas of the four small squares a, B, C and D in the figure is a______ .

As shown in the figure, all quadrangles are squares and all triangles are right triangles. The side length of the largest square is a. then the sum of the areas of the four small squares a, B, C and D in the figure is a______ .

As shown in the figure, according to the Pythagorean theorem, the sum of the areas of squares a and B is equal to the area of square m. The sum of the areas of squares C and D is equal to the area of square n. and the sum of the areas of squares m and N is equal to the area of the largest square. Therefore, the sum of the areas of a, B, C and D is the area of the largest square = A2