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Q: Does a polygone with the greater area always have a greater perimeter?
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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.


Same perimeter different area?

Circle, square, triangle and rectangle of same perimeter. Which will have more area?? The circle will have the greatest area. For regular polygons, the greater the number of vertices, the greater the area. (And so, in the limit, the circle, with an infinite number of vetices, has the greatest area.)


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

no


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.


What is the perimeter of an acre?

An acre is a unit of area, but its actual shape may vary. It doesn't have to be shaped like a square. The more oblong the shape, the greater the perimeter becomes. If it is a perfect square, however, then its perimeter in feet will be four times the square root of its area in square feet. An acre is equal to 43,560 square feet. The square root of that is 208.71, so the perimeter is 834.84 feet if the acre is square. The minimum value of perimeter for a given area will always occur with a circular shape. Area = Pi x d2/4, perimeter = Pi x d, so for 1 acre perimeter comes to 739.9 ft.

Related questions

Is perimeter always greater than the area?

No the area is almost always greater.


Does a polygon with a greater area always have a greater perimeter?

No it depends on the size of the polygon


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 a greater perimeter going to have a greater area can you show a picture?

yes it will have a greater area


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.


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 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 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


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.


Which has greater area circle or square?

For a given perimeter, the circle has the largest area possible.