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Q: Does a polygone with the greater area always have a greater perimeter?
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Continue Learning about Geometry

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.