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The ratio of the shorter side of the rectangle to the longer side is the same as the ratio of the longer side to the sum of the two sides. And that ratio is the Golden section.
A great many things have the golden ratio in them varying from things fabricated by humans such as architecture, the proportions of the sides of a book also fall into the golden ratio. The golden ratio also occurs naturally for example the spiral in the snail's shell falls into the golden ratio. Generally most man made things have the golden ratio in them as it has been found quite simply, to look good.
There are both golden triangles and golden rectangles. In order to be considered golden the ratio must be the same as the sum of the longest side to the other two sides.
A pentagon has 5 sides
An octagon has 8 sides.
I guess you mean the ratio of the areas; it depends if the 2 rectangles are "similar figures"; that is their matching sides are in the same ratio. If they are similar then the ratio of their areas is the square of the ratio of the sides.
The ratio of the shorter side of the rectangle to the longer side is the same as the ratio of the longer side to the sum of the two sides. And that ratio is the Golden section.
A great many things have the golden ratio in them varying from things fabricated by humans such as architecture, the proportions of the sides of a book also fall into the golden ratio. The golden ratio also occurs naturally for example the spiral in the snail's shell falls into the golden ratio. Generally most man made things have the golden ratio in them as it has been found quite simply, to look good.
There are both golden triangles and golden rectangles. In order to be considered golden the ratio must be the same as the sum of the longest side to the other two sides.
Quadrilateral is the name fr a geometric figure with 4 sides.
To make it a golden rectangle the sides should be in 1:0.618 ratio. Lets say your width is made of a + b. a and b are in golden ratio. THis gives a + b = 3.5 <---- equ 1 b = .618 a (because they are in golden ratio) substitute to equ 1 1.618a = 3.5 a = 3.5/1.618 = 2.163 b = 1.336 now you can construct your sides with a = 2.163 to have a golden rectangle
A geometric shape that has 11 sides is called a "hendecagon" or "undecagon." Both terms are acceptable.
A pentagon has 5 sides
An octagon has 8 sides.
a cube
A heptagon is a geometric figure with seven sides.
A triangle.