\

The rectangular graphic design has $\"\"$ -inch margin on each side and a $\"\"$ -inch margin on the top and the bottom.

\

Draw the diagram of the design, including the margins.

\

$\"\"$

\

Area of the design, including the margins is $\"\"$ square inches.

\

Therefore, if one side is equal to $\"\"$ , then the other side equals $\"\"$ .

\

$\"\"$

\

\

Maximize the dimensions of the design exclude the margins.

\

$\"\"$

\

Find the equation for the area of the design without the margin.

\

Area of a rectangle $\"\"$ .

\

The equation is $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

\

Find the maximum point by using graph.

\

Graph the equation $\"\"$ and locate the maximum point.

\

$\"\"$

\

Observe the graph:

\

The maximum point is at $\"\"$ .

\

One side of the design is $\"\"$ .

\

Another side of the design is $\"\"$ .

\

The two sides of the design are $\"\"$ inches and $\"\"$ inches.

\

\

The two sides of the design are $\"\"$ inches and $\"\"$ inches.