# Prime Square

Geometry Level 2

A red rectangle is reshaped into a blue square, as shown above, such that both quadrilaterals have the same perimeter, and the square is $$4\text{ cm}^2$$ larger than the rectangle.

If all the sides of both quadrilaterals has length of a prime number (in $$\text{cm}$$), then what is the perimeter of the square?

×