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You can't really compare area and perimeter - they use different units. Just comparing the NUMBERS for a square (for example), the area can indeed be "smaller". For example, a square of 1 m x 1 m has an area of 1 (square meters) and a perimeter of 4 (square meters).Note that if you change units, this changes. For example, if you use mm, the area is a million (square millimeters), while the perimeter is 4000 (millimeters). This shows that you really can't compare the two things.
In fact, you can choose appropriate units for ANY square, or rectangle for that matter, to make the numbers for the area less than the perimeter.
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Is the perimeter of a polygon less than the area of the polygon?
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.
What is the perimeter of a smaller square?
Less than that of a bigger square.
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.
How many feet are in the perimeter of 2.5 acres?
You can't tell the perimeter from the area. There are an infinite number of 2.5-acrerectangles with all different perimeters.The smallest possible perimeter for 2.5 acres is 1,320 feet, if the plot is square.But if it's not square, the perimeter can be any number greater than 1,320.
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.
Can area be smaller than the perimeter?
yes
Is the perimeter of a polygon less than the area of the polygon?
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.
What shape has a bigger area and a smaller perimeter?
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.
What is the least possible perimeter with an area of 169 ft?
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 the area is 350square feet what is the perimeter?
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.
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.
Is it possible for a shape to have the same area but different perimeter?
Answer: Yes. A polygon can have the same perimeter length but smaller area than another polygon. Answer: For congruent or similar shapes, no. For different shapes, yes. Consider, for example, a rectangle 3 x 1, and another rectangle 2 x 2. They have different areas, but the same perimeter.
Can one rectangle have a greater area than another but a smaller perimeter?
Definitely.Rectangle #1: 18 x 2Perimeter = 40Area = 36Rectangle #2: 7 x 6Perimeter = 26Area = 42Rectangle #2 has a less perimeter than #1,but more area.
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.....
What is the largest possible perimeter of 18?
You mean the largest possible area with a perimeter of 18, right? Well, the largest area is with a circle, which has area 81/pi which is approximately 25.7831 If you need a rectangular area, the largest is a square of width=length (definition of square) = 4.5 This has area 4.52 which is 20.25, substantially less than the circles area...
Can the perimeter be 18 and still the area is 42?
For a given perimeter, the greatest possible area is enclosed by a circle.A circle with a circumference of 18 has a diameter of (18/pi) and a radius of (9/pi).Its area is (pi R2) = (pi 92/pi2) = 81/pi = 25.78 (rounded)So an area of 42 cannot be enclosed by a perimeter of 18.
