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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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13y ago
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14y ago

No,for example, a 1x2 rectangle has an area of 2 but a perimeter of 6

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Q: Is The area of a rectangle always greater than the perimeter?
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Related questions

Can a rectangle have a greater perimeter and also have a greater area?

Of course, a rectangle can have a greater perimeter and a greater area. Simply double all the sides: the perimeter is doubled and the area is quadrupled - both bigger than they were.


Can a rectangle have a greater perimeter than another one but have a greater area too?

yes it can; a rectangle 5 by 2 has perimeter 14 and area 10 for example; a rectangle 10 by 2 has perimeter 24 and area 20, both greater.


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.


What would be a greater perimeter but a smaller area to a question of 24 and a area of 27?

Perimeter = 24 and area = 27 . . . . . rectangle, 3 by 9 Perimeter = 32 and area = 15 . . . . . rectangle, 1 by 15


In general describe the rectangle that has the least area for a fixed perimeter?

For a fixed perimeter, the area will always be the same, regardless of how you describe the rectangle.


Is perimeter always greater than the area?

No the area is almost always greater.


Can the perimeter of a rectangle be greater than it's area?

No, because the perimeter is the outside edge and the area is the amount of space in the shape


What is the perimeter of a 40 acre rectangle of land?

Any length greater than 1 mile. The area of a rectangle is not sufficient to determine its perimeter.


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

Sometimes. Experiment with a small square and with a large square (though any shape rectangle will do). A square of 4 x 4 has a perimeter of 16, and an area of 16. A smaller square has more perimeter than area. A larger square has more area than perimeter.


What values of x is the area of the rectangle greater than the perimeter?

5x> 4


Need a rectangle with a area greater than 30 and a perimeter of 22?

6x5


Does changing the area always change the perimeter?

No. A rectangle of 1 x 3 has the same perimeter as a rectangle of 2 x 2, but the areas are different.