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Q: What is the area of a regular hexagon if the perimeter is 42 inches?

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The area of a regular hexagon with a 24-inch perimeter is about 41.57 square inches.

The area of a regular hexagon with a perimeter 120m is about 1039.2m2

A hexagon has 6 sides. The area of a regular hexagon that has a perimeter of 60 cm is 259.81 cm squared.

The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.Click once to select an item at the bottom of the problem.

The area is 96*sqrt(3) = 166.3 sq inches, approx.

Side length is about 58cm and the perimeter is about 348cm

16cm

The area of a hexagon with the perimeter of 120ft is 1,039.2ft2

Perimeter in inches = LX = 60. A regular hexagon with a perimeter of 60 inches has 6 equal sides of 10 inches. A regular hexagon has 6 equal interior equilateral triangles So in order to find the area of the hexagon we must first find the area of one of its interior triangles and then multiply the result by 6. Area of a triangle = base times perpendicular height divided by 2. An equilateral triangle can be considered as being two right angled triangles joined together. So by halving the length of its base we can find its perpendicular height by using Pythagoras' Theorem: hypotenuse2-base2 = perpendicular height2. 102-52 = 75 square inches. Square root of 75 = 8.660254038 inches. Area of the equilateral triangle = 10*8.660254038/2 = 43.30127019 square inches. Area of the regular hexagon = 43.30127019*6 = 259.8076211 square inches. Therefore the area of a regular hexagon with a perimeter of 60 inches is 260 square inches which is correct to 3 significant figures.

what is the area of a regular hexagon with sides lengths of 12 inches long

Given the perimeter of a regular hexagon, it is better to use the side length: 6 inches, rather than the apothem of 5.2 inches because the latter is he rounded value of 3*sqrt(3) which is 5.196152... rather than 5.2. Based on the length of the sides, the area is approx 93.53 sq inches. [The apothem would have given 93.67 sq inches.]

The area of a hexagon with a perimeter of 12 units is about 10.4 units2

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