The lid to a box is in the shape of a triangle. The base of the triangle is 7.5 centimeters, and the height of the triangle is 4 centimeters. What is the area of the box lid?

The formula for the area of a triangle is:

Area = 1/2 * base * height

Plugging in the given values:
Area = 1/2 * 7.5 cm * 4 cm
Area = 1/2 * 30
Area = 15 cm^2

Therefore, the area of the box lid is 15 square centimeters.