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How do I solve the following?Sharon needs to create a fence for her new puppy. She...

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catd1115 | Middle School Teacher | (Level 3) Assistant Educator

Posted November 7, 2011 at 4:52 AM via web

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How do I solve the following?

Sharon needs to create a fence for her new puppy. She purchased 40 feet of fencing to enclose three sides of a fence. What dimensions will create the greatest area for her puppy to play? (I'm confused by the three sides. I know I need to create a polynomial and find the maximum using the formulas for area and perimeter but I don't know how to do this.)

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samhouston | Middle School Teacher | (Level 1) Associate Educator

Posted November 7, 2011 at 7:06 AM (Answer #1)

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If the three sides is accurate, then the fenced area would be a triangle.  A triangle with the greatest area is equilateral.  40/3 = 13.333 feet on each side.  This would provide an area of `~~` 77 square feet.

If it is supposed to be four sides, then the fenced area would be a quadrilateral.  A quadrilateral with the greatest area is square.  40/4 = 10 feet on each side.  This would provide an area of 100 square feet.

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