Assuming that the hexagon is regular (all sides are the same), it can be comprised of 6 equilateral triangles of side length 6 (in this case).
Area of a equilateral triangle is: (side length^2*√3)/4
Each triangle is of area: 62.353829072479572 inches square.
62.353829072479572*6 = 374.12297443487743 inches square approx.
Length of one side = 114/6 inches = 19 inches
To find the area of a regular hexagon with a side length of 8 inches, you can use the formula ( \text{Area} = \frac{3\sqrt{3}}{2} s^2 ), where ( s ) is the side length. Plugging in the value, the area is ( \frac{3\sqrt{3}}{2} \times (8)^2 = \frac{3\sqrt{3}}{2} \times 64 \approx 166.3 ) square inches. Thus, the area of the regular hexagon is approximately 166.3 square inches.
If the perimeter of the hexagon is 72, then each side of the hexagon is 72/6 = 12. Therefore, one side of the square is also 12, since the hexagon and the square share a side, so the area of the square is 12 x 12 = 144 cm.
It is not possible to answer a question given only the length of one side of a hexagon unless we are told it is a regular hexagon. I added a link that lets you calculate areas of regular polygons.
To find the area of a regular hexagon with a side length of ( s = 8 ) inches, we can use the formula ( \text{Area} = \frac{3\sqrt{3}}{2} s^2 ). Plugging in the value, we get: [ \text{Area} = \frac{3\sqrt{3}}{2} (8^2) = \frac{3\sqrt{3}}{2} \times 64 = 96\sqrt{3} \approx 166.3 \text{ square inches} ] Thus, the area of the hexagon, rounded to one decimal place, is approximately ( 166.3 ) square inches.
9 inches
Length of one side = 114/6 inches = 19 inches
The area is 166.3 square inches.
The side length is 6.20403 units.
If the perimeter of the hexagon is 72, then each side of the hexagon is 72/6 = 12. Therefore, one side of the square is also 12, since the hexagon and the square share a side, so the area of the square is 12 x 12 = 144 cm.
Well, isn't that a delightful question! To find the length of one side of a regular hexagon, you simply divide the perimeter by the number of sides, which in this case is 6. So, if the perimeter is 228 inches, each side of the hexagon would be 38 inches long. Just imagine those lovely hexagon shapes coming together like a happy little family on your canvas!
This hexagon is made of 6 equilateral trianges of side length 8 inches. Height of such a triangle is SQRT(8^2 - 4^2) = SQRT(48) = 6.93 inches. Area of one triangle = 4 x 6.93 = 27.71 square inches. Answer = 6 * 27.71 = 166.28 square inches
It is not possible to answer a question given only the length of one side of a hexagon unless we are told it is a regular hexagon. I added a link that lets you calculate areas of regular polygons.
Length of one side squared x 1.5 x square root of 3, for a REGULAR hexagon.
s = 8 and a = 1.3 are not compatible for a regular hexagon.
A square with a side length of 6 inches has an area of 36 square inches.
P = 6(5/8 inches) =