A rectangle on a coordinate plane has a length of five units and a width of three units if the rectangle is dilated by a scale factor of five what is the new area?

______ square units

The area of the original rectangle is 5 units * 3 units = 15 square units.

When the rectangle is dilated by a scale factor of 5, the new length is 5 units * 5 = 25 units and the new width is 3 units * 5 = 15 units.

Therefore, the new area of the rectangle is 25 units * 15 units = 375 square units. Answer: \boxed{375}.