Answer
$$55$$
Work Step by Step
\begin{align*}
\int_{4}^{9} \int_{-3}^{8} 1 d x d y&=\int_{4}^{9} x \bigg|_{-3}^{8} d y\\
&=\int_{4}^{9} 11 d y\\
&=11y\bigg|_{4}^{9}\\
&= 55
\end{align*}
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