Consider the following regions in the plane: \[ \begin{array}{l} A=\left\{(x, y): y^{2}=4[\sqrt{...

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Consider the following regions in the plane:
\[
\begin{array}{l}
A=\left\{(x, y): y^{2}=4[\sqrt{y}] x, 1 \leq x \leq 4,1 \leq y \leq 4\right\} \\
B=\left\{(x, y): x^{2}=4[\sqrt{x}] y, 1 \leq x \leq 4,1 \leq y \leq 4\right\}
\end{array}
\]
The area of the region \( A \cap B \).
(a) \( 8 / 3 \) sq. units
(b) 10/3 sq. units
(c) 11/3 SQ. units
(d) 11/14 sq.units
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