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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.

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

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

Expressed using systematic polygon names, an 83-sided regular polygon would be called an octacontakaitrigon.

Related questions

Such a polygon is not possible.

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

60ft

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.

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!

The formula for finding the area (A) of a regular polygon when its perimeter (p) and apothem (a) are known is: A=(pa)/2 Therefore, when the figures are put into the formula it becomes: A=(20 x 3)/2 A=60/2 A=30 square feet

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