Best Answer

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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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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28 inches

The dimensions of the rectangle are 3 inches by 14 inches

42 square units.

Perimeter = 2*(5 + 7) = 24 inches.Area = 5 * 7 = 35 square inches.

A 9 x 1 rectangle has a perimeter of 20 and an area of 9; A 9.5 x 0.5 rectangle has the same perimeter but an area of 4.75; You can go a long way along this road...

Related questions

the area of a rectangleis 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same area but a different perimeter. Is the secind rectangle a square? Explain why or why not.

yes

Perimeter:20 inches Area:35

28 inches

The perimeter of a rectangle 12 inches by 8 inches is 40 inches. Its area is 2/3 of a square foot.

Perimeter = 24 inches Area = 35 square inches

Perimeter = 32 inches. Area = 55 square inches.

10.5

The dimensions of the rectangle are 3 inches by 14 inches

24

If that's a rectangle, the perimeter is 24 inches and the area is 27 square inches.

Yes it is possible. Consider these two shapes with the same area: a 2-inch square and a 1-inch x 4-inch rectangle both have the same area of 4 sq inches. However, the square has a perimeter of 8 inches while the rectangle has a perimeter of 10 inches. By the way, the shape with the largest area for a given perimeter is a circle.

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