A gardener had 1500 feet of fencing to enclose three adjacent rectangular gardens. Determine the demensions that will produce a maximum enclosed area.
The area of the 3 gardens is calculated by:
...... (A)
The fence of all 3 gardens is calculated by:
...... (B)
Solve (B) for l. Plug in this term into equation (A):
To get the maximum area determine the first derivation of a and solve the equation for . I've got
That means the maximum area is