A rectangle poster has a length of 72 centimeters and a width of 15 centimeters. The poster is reduced in size by 6 centimeters in length and 3 centimeters in width. What is the area of the new rectangle?

Original area: 72 cm * 15 cm = 1080 cm^2

New length: 72 cm - 6 cm = 66 cm
New width: 15 cm - 3 cm = 12 cm

New area: 66 cm * 12 cm = 792 cm^2

Therefore, the area of the new rectangle is 792 square centimeters.