# Shendy's Uniform

Suppose $$x$$ and $$y$$ are real values that are distributed uniformly in the respective ranges $$0 \leq x \leq 10$$ and $$0 \leq y \leq 10$$. The probability that $$8 \leq x+2y \leq 20$$ can be written as $$\frac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers. Find $$a+b$$.

This problem is posed by Shendy Marcello Y.

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