The cross-sectional area of a beam is $\"\"$ , where $\"\"$ is the length in feet of half the base of the beam.

(a)

Find the domain of $\"\"$ .

Since it is radical function, radicand should be greater than or equals to zero.

$\"\"$

The domain is $\"\"$ .

(b)

Graph the function $\"\"$ :

$\"\"$ .

(c)

Make a table of values to find ordered pairs that satisfy the function.

Choose values for $\"\"$ and find the corresponding values for $\"\"$ .

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Observe the above table of values :

The value of $\"\"$ maximizes the cross-sectional area.

Thus, the length of the base of the beam to maximize the cross-sectional area is $\"\"$ feet.

(a) The domain is $\"\"$ .

(b)

Graph of the function $\"\"$ is :

$\"\"$

(c)

The value of $\"\"$ maximizes the cross-sectional area.

The length of the base of the beam to maximize the cross-sectional area is $\"\"$ feet.