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Is perimeter always greater than the area?

Updated: 4/28/2022
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13y ago

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No the area is almost always greater.

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13y ago
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Q: Is perimeter always greater than the area?
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What values of x is the area of the rectangle greater than the perimeter?

5x> 4


What is the perimeter and area of a right angle triangle that has a height of 7 cm greater than its base and an hypotenuse of 17 cm?

Perimeter: 8+15+17 = 40 cm Area: 0.5*8*15 = 60 square cm


What is the perimeter of 4000 square feet?

Any value greater than 224.2 feet. A circle with a circumference of 224.2 ft (approx) has an area of 4000 square feet. By strectching the circle along one axis and making it narrower along another (making the circle into an ellipse), its perimeter can be increased without changing its area. There is no upper limit to the perimeter.


Is the perimeter always smaller than the area?

The perimeter is in linear units (e.g. meters), and the area in square units (e.g. square meters), so you can't compare them directly. If you insist on comparing a square unit with a linear unit - even though this has no physical significance! - it all depends on the units chosen, and the size. A square of 1x1 has a surface area of 1 square unit, but a perimeter of 4 units. This is a counterexample to your proposition. At a size of 4x4, you reach the "break-even point"; above that, the perimeter would have a lower numerical value than the area. But please note that if you use physical measurements, the square of 1 meter x 1 meter (for example) has a perimeter of 4 meters and an area of 1 square meter (perimeter has a higher numerical value), but when you change units to centimeters, the same square has a perimeter of 400 cm, and an area of 10,000 cubic centimeters (here, the perimeter has a LOWER numerical value).


What is the minimum perimeter of the rectangle?

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.

Related questions

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 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.


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

It depends on the length and width... The smaller of the length and the width, the perimeter is greater than the area... But.. The bigger of the length and width, the area is greater than the perimeter. example : length = 5 , width = 2 AREA = 5 x 2 = 10 Perimeter = 2 x ( 5 + 2 ) = 14 example : length = 9 , width = 6 AREA = 9 x 6 = 54 Perimeter = 2 x (9 + 6) = 30 you can see the different.....


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.


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 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 area of greater than 16 with a perimeter of 16?

A circle with a circumference (perimeter) of 16 units has an area of approx 20.4 units.


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.


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


Is the perimeter of a triangle always bigger than the area of a triangle?

no


If one rectangles perimeter is greater than another will its area also be greater?

i don't really know but i think the answer is yes