A regular hexagon
the polygon would be a square
If the width is 9' and the length is twice that, the length is 18'; the perimeter is twice the length plus twice the width, which is 36' + 18' = 54 feet.
Letting S represent the length of a side of an equilateral triangle having a height of 1 unit, then drawing a perpendicular from the mid point of a side to the opposite vertex creates a right triangle having sides 1, S, and ½S, with S being the hypotenuse of a right triangle. The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides; thus S2 = (H2 + (½)2S2) = 1 + ¼S2. Subtracting 1 from each side, S2 - 1 = ¼S2. Multiplying the terms on each side by 4, 4S2 - 4 = S2; subtracting S2 from each side, 3S2 - 4 = 0; adding 4 to each side, 3S2 = 4; dividing each side by 3, S2 = 4/3; Taking the square root of each side, S = 2/1.732 = 1.1547 The length of each side of an equilateral triangle is the product of 1.1547 x height. (Note: 1.1547 is twice the reciprocal of the square root of 3.) Example: if the height of an equilateral triangle is 30 cm, the length of each side will be 34.641cm (30 x 1.1547cm).
The surface area of a prism is twice the area of the end plus the area of all the sides. For a prism with a polygon cross-section the area of all the sides if given by the perimeter of the cross-section polygon multiplied by the length of the prism. Assuming you have a prism of cross-section that is a rectangle with sides 4 mm and 3 mm, and is 15 mm long (ie it is an oblong), its surface area is: → surface_area = 2 × (4 mm × 3 mm) + 2 × (4 mm + 3 mm) × 15 mm → surface area = 2 × 12 mm² + 14 mm × 15 mm = 234 mm²
If the perimeter is 84 feet and the length is twice the width, then the length will be 28 feet and the width will be 14 feet.
a hexagon
A hexagon and a triangle.
a hexagon ( triangle has 3 and a hexagon has 6)
A regular hexagon
hexagon
A 7 sided polygon has 14 diagonals
square
octagon-8 sides
A figure with twice as many sides as a triangle would be a hexagon. Also known as a 6 sided figure.
An heptagon has 7 sides and 14 diagonals
First, draw the equilateral triangle ABC, and its altitude AI. Extend the sides AB and AC in such way that the extended parts to be equal in length with the length of these sides. Extend also the altitude AI in such way that the extended part to be twice in length as the altitude length. Label their end points , started from the point C, respectively with D, K, and G. From points D, K, and G, draw the parallel lines to BG, BC, and CD. Label their intersections respectively with E and F. A hexagon is formed, the hexagon BCDEFG, where its sides are equal in length with the length sides of the equilateral triangle ABC.
first draw your baseline, then set your compasses to say twice that length, then draw a circle of the same radius from each end of the baseline, use either intersection as the apex of your isosceles triangle.