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18" is not a possible perimeter measurement.

Assume the dimensions of the rectangle are so close to those of a square that the difference can be disregarded. This is the condition when the perimeter is at its minimum.

When the rectangle measures approximately 6" x 6", its area = 36 sq ins, its perimeter = 24"

For the area to remain constant then as the length increases by a factor n the width must decrease by that same factor.

Area = 6n x 6/n : perimeter = 12n + 12/n :so when n = 1, Perimeter = 12 + 12 = 24

As n increases, say n = 2, Perimeter = 24 + 6 = 30 : And the perimeter continues to increase as the rectangle becomes narrower. Eventually, it will become so narrow that

for diagram purposes it will appear as a straight line.

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โˆ™ 2010-02-08 17:58:11
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A polynomial of degree zero is a constant term

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Q: The area of a rectangle is 36 sq inches. Which of these is not a possible perimeter 40 in 36 in 26 in 18 in?
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