SOLUTION: Tom runs a dog kennel. He has purchased 80 m of fencing to build an outdoor exercise pen against the wall of the kennel. A. If x represents the width of the pen, write an expre

Question 1180658: Tom runs a dog kennel. He has purchased 80 m of fencing to
build an outdoor exercise pen against the wall of the kennel.
A. If x represents the width of the pen, write an expression for its length.
B. Write a relation, in terms of x, for the area of the exercise pen. Identify
the factors of the relation.
Thank you
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.

            From the context, the pen has 3 walls: one wall is parallel to the wall of the kennel
            and two other walls are perpendicular to it.

            The problem must say it directly and explicitly, but the problem's composer failed to do it, UNFORTUNATELY.

            (Because he (or she) has no experience in formulating Math problems).

If x represents the width of the pen, then the length of the pen is  (80-2x) meters.


It is the answer to the first question.



The area of the pen is the product of its width by its length


    area = x*(80-2x) =  -2x^2 + 80x.


It is the answer to the second question.

-------------

All questions are answered and carefully explained.

The solution is complete.

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