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10 square feet

Q: What would be the area of a regular polygon with a perimeter of 10 feet and an apothem of 2 feet?

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Such a polygon is not possible.

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.

Yield signs are triangular, but have rounded corners. An actual triangular shape, if equilateral, would be a regular polygon.

Given the side length of a regular polygon you don't need the apothem and conversely. Using the side length, you get an area of 52.61 sq metres. Using the apothem, you get 52.69 sq metres. The difference between the two is because, if the side were exactly 4.5 m, then the apothem would be side*sqrt(3)/2. This is 3.897 m (to 3 dp) rather than 3.9. The difference leads to the answer for the area being 52.6 or 52.7 sq metres. However, the lengths are given to only 2 significant digits and to 2 sig digs, the area is 52 sq metres. This is a good example for people who insist on giving answers to spurious levels of accuracy.

Applying systematic polygon names, a 58-sided regular polygon would be called a pentacontakaioctagon.

Related questions

Such a polygon is not possible.

60ft

60ft

The area of a regular polygon is equal to one-half the product of the apothem and the perimeter. 40x30 divided by 2=600 square feet

The answer will depend on the number of sides in the polygon. Since that information is not given, there can be no answer.

An apothem of a regular polygon is a segment from its center to the midpoint of a side. You can use the apothem to find the area of a regular polygon using this formula: A = pa/2 where p is the perimeter of the figure and a is the apothem. For a regular octagon with side length 11, the perimeter p = 8(11) = 88. So the area would be A = 88(8.85)/2 = 389.4 square units.

Area of regular polygon: 0.5*2*10 = 10 square feet

Area of regular polygon: 0.5*20*3 = 30 square feet

the formula for a regular polygon is A=1/2(apothem)(perimeter). So, first you would do 1/2 times 3 which equals 3/2. 3/2 times 20 is 30. so 30 is the area.

60ft

30ft * * * * * No, it is 30 SQUARE feet. Area cannot be measured in feet!

30ft * * * * * No, it is 30 SQUARE feet. Area cannot be measured in feet!