Yes, the perimeter of a rectangle can be larger than its area. For example, consider a rectangle with dimensions 1 unit by 1 unit, which has a perimeter of 4 units and an area of 1 square unit. As the rectangle's dimensions change, especially when one dimension is much larger than the other, the perimeter can exceed the area even more significantly.
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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.
No, a shape with a smaller perimeter does not always have a smaller area. The relationship between perimeter and area depends on the specific shape in question. For example, a square with a perimeter of 12 units will have a larger area than a rectangle with the same perimeter. The distribution of perimeter and area varies based on the shape's dimensions and proportions.
In general the larger the perimeter (of a flat shape) the greater the area. Given two congruent shapes the one with the larger perimeter has a greater area.But two shapes that are not congruent (or almost so) do not follow this rule: for example a rectangle fifteen units long and one unit wide has an area of 15 square units and a perimeter of 32 units. While a square with edges four units has an area of sixteen square units (one more than the other rectangle) but a perimeter of only sixteen units (half that of the long thin rectangle).So too with surface area and volume. Of two congruent 3 dimensional shapes, the one with the larger volume will also have a larger surface area.
Most shapes have different perimeter than area, as far as value.
Either of the two can have the larger magnitude although, since one is a length and the other an area, they cannot be compared directly. Moreover, it depends on the units used. For example, a square measuring 3 cm by 3 cm has a perimeter of 12 cm and an area of 9 cm2. The perimeter has the larger magnitude. But the same square can be said to have sides of 30 millimetres. This gives a perimeter of 120 mm and an area of 900 mm2. The area has the larger magnitude. The same sort of result applies to other polygons.