A wire 24inches long is to be cut into four pieces to form a rectangle whose shortest side has a length of x:

Determine the domain of the function and use a graphing utility to graph the function over that domain

Use the graph of the function to approximate the maximum area of the rectangle. Make a conjecture about the dimensions that yield a maximum area ...?

Question

Elizabeth Wood

Mathematics

24 May, 01:45

A wire 24inches long is to be cut into four pieces to form a rectangle whose shortest side has a length of x:

Determine the domain of the function and use a graphing utility to graph the function over that domain

Use the graph of the function to approximate the maximum area of the rectangle. Make a conjecture about the dimensions that yield a maximum area ...?

+5

Answers (1)

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Antoine Perry · Answer 1

If the function is the Area, then Area = length*width = x * (12-x) = 12x - x^2Domain is x>0, since you can't have a rectangle with negative length.

0 < x<6, If x is 7 then width would be 5, but x must be shorter