To convert from square meters (m^2) to square centimeters (cm^2), you need to multiply by a conversion factor.

1 square meter is equal to 10,000 square centimeters.

So, 1/4 m^2 is equal to (1/4) * 10,000 cm^2.

Simplifying this expression, we get:

(1/4) * 10,000 = 2,500 cm^2

Therefore, 1/4 m^2 is equal to 2,500 cm^2.