Spring Garden

Each spring, a 12 meter by 12 meter garden has its length increased by 2 meters but its with decreased by 50 centimeters. What will be the maximum attainable area of the garden?
Source: NCTM Mathematics Teacher, October 2006

Area in square meters per each year starting from year 0
In general in year x, the area equals
The graph of this quadratic expresion is shown below

The area reaches a maximum of 225 square meters in year x=9.

Answer: 225 square meters


About mvtrinh

Retired high school math teacher.
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