Find the area of the rectangle by multiplying the side lengths.

A rectangle with a length of five-twelfths units and a width of four-fifths units.

To find the area of a rectangle, you need to multiply the length by the width.

In this case, the length is five-twelfths units and the width is four-fifths units.

Multiplying these two fractions gives us:

(5/12) * (4/5) = (20/60) = 1/3

Therefore, the area of the rectangle is 1/3 square units.