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

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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.

Yes.

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.

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

Conventionally, any fraction greater than a quarter.

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

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.

It is not. The perimeter of a 1 cm square is 4 cm. The perimeter of a 5 km * 15 km rectangle is 4000000 cm: a million times as large!

The perimeter can have any value greater than 1008.1 feet

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.

21 x 2 has greatest perimeter

The answer will depend on how big the two figures are!

6x5

5x> 4

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

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

The way the rectangle is usually defined, a rectangle has to be positive, so any number greater than zero will do. Note that the set of numbers greater than zero has no minimum.

Perimeter of [ 16 x 26 ] rectangle = 16 + 16 + 26 + 26 = 84-ft . Perimeter of a 20-ft square = 4 x 20 = 80-ft . The rectangle has the greater perimeter.

They will be both the same because the perimeter of the square is 32 units and the perimeter of the rectangle is also 32 units

7.5cm x 4.5cm

There is no limit to the size of the perimeter.

P (perimeter of a rectangle) = 2*l+2*w 2*24+2*w > 100 2*w > 52 w > 26 Any width greater than 26cm will cause the perimeter to be greater than 100cm.

width = (x + 4) cm length = [(x + 4) + (x + 7)] cm Rectangle Perimeter = 2[(x + 4) + (x + 4 + x + 7)] cm Rectangle Perimeter = 2[(x + x + x) + (4 + 4 + 7)] cm Rectangle Perimeter = 2(3x + 15) cm Rectangle Perimeter = (6x + 30) cm

Any value greater than 6.25 feet.

Anything greater than 27.713cm (4 x √48).