Bigger than what ? Smaller than what ? If you have a certain perimeter and you want to cram the most area inside it, or if you have a certain area and you want to enclose it in the shortest perimeter, then you must make the perimeter circular. If you have only a limited number of fence posts and a circular perimeter isn't practical, then you make the perimeter square.
There is insufficient information to answer the question. For a given area, the perimeter depends upon the shape. For a given area, the circle will have the smallest perimeter. For polygons, regular polygons will have a smaller perimeter than an irregular one of the same area. Also, for regular polygons, the greater the number of sides, the smaller the perimeter.
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. Consider two rectangles: 1 x 10 and 4 x 5 The 1 x 10 has a perimeter of 22 and an area of 10 The 4 x 5 has a perimeter of 18 and an area of 20 Smaller perimeter, twice the area.
The shape which minimises the perimeter for a fixed area is a circle. A circle of radius 7.334 ft (approx) will have the required area and a perimeter (circumference) of just 46.084 ft. The quadrilateral with the smallest perimeter will be a square with sides of 13 feet: a perimeter of 4*13 = 52 feet. Any regular polygon with more than 4 sides will have a smaller perimeter, for the same area, than a square.
if your perimeter totals the same as 4 times pi then the maximum area that can be encompassed is equal to the perimeter. This is done by forming a circle. if you change the shape of the circle then the area will become smaller than the perimeter(circumference) if you make the circumference of the circle smaller then you will definitely decrease the area faster than you would the perimeter if you make the perimeter bigger then you will definitely increase the area faster than you would 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.
You break it up into smaller shapes which are less irregular. If these are more regular, you can calculate their contribution to the perimeter, and their area. You can then add these together.
The perimeter doesn't tell you the area. There are an infinite number of differentareas that it could have.-- If it's a circle with a perimeter of 36, then the area is 103.1324. (rounded)-- If it's a square with a perimeter of 36, then the area is 81 .-- If it's a rectangle with a perimeter of 36, then the area can be any numberthat's more than zero and less than 81 .
Less than that of a bigger square.
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.
There is no systematic relationship between the two. Consider the following 2 rectangles: A = 8 cm * 8 cm: Perimeter = 32 cm, area = 64 cm2 B = 14 cm * 4 cm: Perimeter = 36 cm, area = 56 cm2 The perimeter of B is larger, but the area is smaller.
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.
Units mismatch prevents any comparison of the values:perimeter is measured in units of length (e.g. inches, meters, miles)area is measured in units of area (e.g. square inches, square meters, square miles)
No, you can not calculate an area if you know just the perimeter. For example, rectangle with sides of 10 and 20 would have a perimeter of 60 and an area of 200, but a square of sides 15 would have a perimeter of 60 and an area of 225. You need to know more details about the shape than just the perimeter.
No the area is almost always greater.
It's impossible. The largest area for a rectangle with perimeter of 6 is 2.25, a perfect square with a length of 1.5 for each side. Any other combination yields a smaller area.