What is the area of a rectangular room with a length of 5 -3i and a width of 2i?

Not thinking too hard about the surreal room, we multiply and get $\left(5 - 3 i\right) \left(2 i\right) = 6 + 10 i$.
$A = \left(5 - 3 i\right) \left(2 i\right) = 10 i - 6 {i}^{2} = 6 + 10 i$