Question28. A rectangular lot is bordered on one side by a building and the other 3 sides by 300 m of fencing. Determine the area of the largest lot possible.

Studdy Solution
Verify the solution: - Check the second derivative to ensure a maximum:
$$\frac{d^2A}{dy^2} = -4$$
Since $\frac{d^2A}{dy^2} < 0$, the function has a maximum at $y = 75$.
- Calculate the maximum area:
$$A = 150 \times 75 = 11250 \text{ m}^2$$
The area of the largest lot possible is:
$$\boxed{11250 \text{ m}^2}$$