yeah
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.
What does the '5cm' represent??? Is it the length of the perimeter , or are you misunderstanding that the 5 cm is the length of one side. When described as a '5 cm square' is this the 'area'.
We first need to assume it is a regular hexagon, otherwise the rules will not apply. If we let L be the length of one side of the hexagon, the the area A = 3(√(3))/2 multiplied by L2 or A=(3(√3)/2)×L2
Area = 35 cm2 and one side = 5 cm => other side = 7 cm So perimeter = 2(5 + 7) = 2*12 = 24 cm
yeah
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.
Length of one side squared x 1.5 x square root of 3, for a REGULAR hexagon.
We first need to assume it is a regular hexagon, otherwise the rules will not apply. If we let L be the length of one side of the hexagon, the the area A = 3(√(3))/2 multiplied by L2 or A=(3(√3)/2)×L2
Area = 35 cm2 and one side = 5 cm => other side = 7 cm So perimeter = 2(5 + 7) = 2*12 = 24 cm
Area of first hexagon is (3/2) x sqrt(3) x s2 = 1623.75Area of second hexagon = 2/5 (1623.75) = 649.5Its side is about 15.81 units.
Easy. Since the side is the base and the apothem is the height of the triangle, multiply them and divide by two to get the area of the triangle. 3 * 3.46 = 10.38 /2 = 5.19. Then multiply by 6 to get the area of the hexagon. 5.19 * 6 = 31.14. You multiply by 6 because you can fit 6 regular triangles in a regular hexagon. We've already found the area of one regular triangle in the hexagon.
The length of on side of an equilateral hexagon is half the diameter of the circumscribing circle.
the formula to find the area of any prism is to find the area of the base (a regular hexagon, meaning that all sides and angles are the same) and multiply by the height of the prism. To find the area of a hexagon you multiply the apothem by the perimeter of the hexagon, and then divide that by 2. the apothem is a line from the center point to the center of any side, forming a right angle with a side, it doesn't matter which one. Once you find the area of the hexagon, multiply it with the height.
To find the area of a regular hexagon with side length of 40cm, consider that since it is regular, then it consists of 6 equilateral triangles of side 40cm. Half of each of those triangles is a right triangle. By the pythagorean theorem, we know that if the hypotenuse is 40cm, and one side is 20cm, then the other side is the square root of (40cm squared - 20cm squared) or about 34.64cm. That makes the area of each of those 12 right triangle to be about 692.8cm, so the total area of the hexagon is about 8313.8cm.
The area of any hexagon is 6(0.5)(L)(L sin 60o) = 3L2 sin 60o, where L is the length of one side and is also the radius of the circumscribed circle.