Ans: C
Length in the map $:$ actual length
Length in the map $:$ actual length
$\begin{array}{cl}
= & 1 : 5~000 \\
= & 1\text{ cm} : 5~000\text{ cm}
\end{array}$
$\therefore$ area in the map $:$ actual area
$\begin{array}{cl}
= & 1\text{ cm}^2 : 25~000~000 \text{ cm}^2 \\
= & 4 \text{ cm}^2 : 100~000~000 \text{ cm}^2 \\
= & 4 \text{ cm}^2 : 10~000 \text{ m}^2
\end{array}$
Therefore, the actual area of the garden is $10~000\text{ m}^2$.