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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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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.
Why is perimeter bigger than the area?
Perimeter and area measure different aspects of a shape. The perimeter is the total length of the shape's boundary, while the area measures the space enclosed within that boundary. In some cases, especially for elongated or irregular shapes, the perimeter can be larger than the area because the boundary can extend far without significantly increasing the enclosed space. For example, a long, thin rectangle may have a large perimeter relative to its area.
Does a shape with a smaller perimeter always have a smaller area?
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.
How is area perimeter and volume related?
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.
Can a shape have the same area but not perimeter?
Most shapes have different perimeter than area, as far as value.
Can a perimeter be larger than the area itself for example a 3x3 square with a perimeter of 12in and a area of 9in?
yes
What is larger area or perimeter?
It depends. With a square with a side of 2, the perimeter is 8 while the area is 4. With a square with a side of 10, the perimeter is 40 while the area is 100. Usually, though, you'll find that the area is larger than the perimeter.
Is the perimeter larger than the area?
Yes it can but on some occasions the area can be more.
If a perimeter is 22 ft what is rectangle with an area larger than 30?
5
Is the area always larger than the perimeter?
No the area is not always larger than the perimeter. Ex. The area of a reectangle could be 4 feet. The width could be 4 while the length is 1. The perimeter total would be 10.
Is perimeter larger than the area of square?
Perimeter is length or distance (inches, feet, meters). Area is square units (length2 : square inches, square feet, square meters), so to say that one is larger than another is not relevant. If it's a 1 by 1, then the perimeter is 4 and the area is 1. But if the square is 5 by 5, then it has a perimeter of 20 and an area of 25. It depends, good luck.
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.
Is The area of a rectangle always greater than the 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.
Can perimeter be larger than area?
yes if you have a 1 by 1 rectangle, you would have a perimeter of 4 but an area of 1 [ADDED} It's really a meaningless question because although such numbers suggest that, you cannot compare a linear dimension (perimeter) with an area.
Is the perimiter of 11 by 12 rectangle smaller or larger than the perimiter of a sqare with the same area?
11 x 12 rectangle has a larger perimeter = 46 units The 132 square unit area will give a square a perimeter of 45.9565 units
Is area on a triangle larger than perimeter?
Perimeter is length (units feet, centimeters, etc.) Area is length2 (square feet, square centimeters etc.). But if you want to disregard the units, you can find triangles which perimeter is larger, smaller or even 'equal' to area, depending on scale.Take a 3,4,5 right triangle. The perimeter = 3+4+5= 12 units. Area = 3*4/2 = 6 square units. Now double the sides.Perimeter = 6 + 8+ 10 = 24 units. Area = 6*8/2 = 24 square units (the numbers are equal). Scaling it larger, then the valueof the area (in square units) will be larger than the perimeter value (in straight units).
Why is perimeter bigger than the area?
Perimeter and area measure different aspects of a shape. The perimeter is the total length of the shape's boundary, while the area measures the space enclosed within that boundary. In some cases, especially for elongated or irregular shapes, the perimeter can be larger than the area because the boundary can extend far without significantly increasing the enclosed space. For example, a long, thin rectangle may have a large perimeter relative to its area.
