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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