$\"\"$

Observe the figure :

The equation of the graph is $\"\"$ .

Area of the rectangle bounded by the coordinate axes is $\"\"$ .

Where $\"\"$ is length and $\"\"$ is width of the rectangle.

Substitute $\"\"$ in $\"\"$ .

$\"\"$

Differentiate on each side with respect to $\"\"$ .

$\"\"$

For maximum area equate $\"\"$ to zero.

$\"\"$

Substitute $\"\"$ in $\"\"$ .

$\"\"$ .

Therefore, length of the rectangle is $\"\"$ and width of the rectangle $\"\"$ .

$\"\"$

Length of the rectangle is $\"\"$ and width of the rectangle $\"\"$ .