Find Measurements of the Base and Altitude of a Triangle $\pm 11.9625$

Multiple Choice

Find measurements of the base and altitude of a triangle are found to be 54 and 33 centimeters. The possible error in each measurement is 0.25 centimeter. Use differentials to estimate The propagated error in computing the area of the triangle. Round your answer to four decimal places.

A) $\pm 11.9625$ square centimeters
B) $\pm 9.7875$ square centimeters
C) $\pm 10.875$ square centimeters
D) $\pm 12.5063$ square centimeters
E) $\pm 13.05$ square centimeters