Figure one and figure 2 above or congruent squares, but figures have been split into smaller shapes, consisting of squares and right triangles. All of the triangles are congruent and they have leg links of a and B with hypotenuse C as marked and figure one.
The smaller square in figure 1 is split into 2 right triangles and 1 square, while the smaller square in figure 2 is split into 4 right triangles. Both figures have the same area and perimeter, even though they are divided into different shapes.
In figure 1, the area of the square is A = (a + b)^2 and the perimeter is P = 4(a + b).
In figure 2, the area of the square is still A = (a + b)^2 and the perimeter is still P = 4(a + b).
Therefore, both figures have the same area and perimeter, even though they are split into different shapes.