# Is the measure induced by the Mandelbrot set computable on rational rectangles?

Is there a computable function that, given a positive rational number $\epsilon$ and a rectangle with rational corners $A$ returns a number $f(A,\epsilon)$ such that $|\mu(A \cap M)-f(A,\epsilon)|\lt\epsilon$, where $M$ is the Mandelbrot set and $\mu$ is Lebesgue measure?

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