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Best Answer

Definitely.

Rectangle #1: 18 x 2

Perimeter = 40

Area = 36

Rectangle #2: 7 x 6

Perimeter = 26

Area = 42

Rectangle #2 has a less perimeter than #1,

but more area.

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Q: Can one rectangle have a greater area than another but a smaller perimeter?
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Can a rectangle have a smaller perimeter and also a greater area?

Yes. For instance, the rectangle measuring 1 by 10 has a perimeter of 22 and an area of 10, whereas the rectangle measuring 4 by 4 has a perimeter of 16 and an area of 16.


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To answer this simply try a few out for yourself. In a 2x1 cm rectangle, the area is 2 cm squared and the perimeter is 6 cm In a 12x10 rectangle, the area is 120 cm squared and the perimeter is 44 cm. In some cases, the perimeter is larger and in others it is smaller. To answer your question, no, the perimeter of a rectangle is NOT always greater than its area.


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Is it possible for a shape to have the same area but different perimeter?

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Is it sometimes always or never true that the perimeter of a rectangle is numerically greater than its area?

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