Six squares, each with side length 5 cm, are drawn in 2-d so that their perimeters have a point P in common. A is the area that is inside at least one of the squares.

The smallest value for A is 25 cm², if the squares all lie exactly on top of each other.

But this week’s challenge is to find the largest possible value for A - give your answer as an exact value if you can, and explain carefully how you know that it is the largest possible value.

Good luck!