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Yes, it is possible for the area to be smaller than the perimeter. In geometric terms, the area of a shape is the measure of the space inside the shape, while the perimeter is the sum of the lengths of all the sides. For certain shapes, such as rectangles with very elongated proportions, it is possible for the perimeter to be larger than the area.
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EzraYou 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.
