Answer:
The base of the triangle decreases at a rate of 2.262 centimeters per minute.
Step-by-step explanation:
From Geometry we understand that area of triangle is determined by the following expression:
 (Eq. 1)
 (Eq. 1)
Where:
 - Area of the triangle, measured in square centimeters.
 - Area of the triangle, measured in square centimeters.
 - Base of the triangle, measured in centimeters.
 - Base of the triangle, measured in centimeters.
 - Height of the triangle, measured in centimeters.
 - Height of the triangle, measured in centimeters.
By Differential Calculus we deduce an expression for the rate of change of the area in time:
 (Eq. 2)
 (Eq. 2)
Where:
 - Rate of change of area in time, measured in square centimeters per minute.
 - Rate of change of area in time, measured in square centimeters per minute.
 - Rate of change of base in time, measured in centimeters per minute.
 - Rate of change of base in time, measured in centimeters per minute.
 - Rate of change of height in time, measured in centimeters per minute.
 - Rate of change of height in time, measured in centimeters per minute.
Now we clear the rate of change of base in time within (Eq, 2):

 (Eq. 3)
 (Eq. 3)
The base of the triangle can be found clearing respective variable within (Eq. 1):

If we know that  ,
,  ,
,  and
 and  , the rate of change of the base of the triangle in time is:
, the rate of change of the base of the triangle in time is:




The base of the triangle decreases at a rate of 2.262 centimeters per minute.