Question 226598
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Any of the given values could be the area only knowing that the perimeter is 14 feet.  The maximum area for a rectangle of a given perimeter is when the rectangle is a square, that is when the measure of one side is one-fourth of the perimeter.  In the case of a rectangle with a 14 ft perimeter, that square would measure 3.5 feet on a side.  3.5 squared = 12.25 square feet -- larger than the largest value on your list.  The lower limit for the area is zero.  No matter how small you make one of the sides, you can always find a smaller value that is not zero.  But the smaller you make one side, the smaller, and therefore closer to zero, will be the area.  Hence the area of a rectangle with a 14 foot perimeter is in the interval *[tex \Large 0\ <\ A\ \leq\ 12.25]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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