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You are looking to spruce up your garden by making a rectangular enclosure using a wall...

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Basic Math

You are looking to spruce up your garden by making a rectangularenclosure using a wall as one side and 160 meters of fencing forthe other three sides. You want to find the dimensions of therectangle so that you are maximizing the enclosed area.

  1. (a) Draw and label a picture representing the problem.

  2. (b) Write the objective function and the constraint. (You do notneed to label which equation is which.)

(c) Write the area equation in terms of one variable.

  1. (d) Find the dimensions that give the greatest area.

  2. (e) What is the greatest area that can be enclosed?

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