Question

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

Answer 1

Area of rectangular room to is `6+10i`.

Explanation:

Area of a rectangle is length multiplied by width. Here length and width are complex numbers and hence, we should remember `i^2=-1`.

Hence area is `(5-3i)xx2i=10i-6i^2=10i-6*(-1)=10i+6` or `6+10i`