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A "golden rectangle” is a rectangle where the ratio of the longer side to the shorter side is the "golden ratio.” These rectangles are said to be visually pleasing. An example of a "golden rectangle” has a length equal to x units and a width equal to x – 1 units. Its area is 1 square unit. What is the length of this golden rectangle?

Respuesta :

The length of the given golden rectangle is; 1.618 units

How to find the length of a golden triangle?

We are told that, for the golden rectangle;

Length = x units,

Width = (x - 1) units,

Area = 1 unit².

The area of this rectangle will have the formula;

A = x(x - 1)

Thus;

x(x - 1) = 1

Expanding gives;

x² - x - 1 = 0

Using online quadratic equation calculator, we have;

x = 1.618 or -0.618.

Length has to be positive and so we choose x = 1.618

Read more about Golden Triangle at; https://brainly.com/question/3811402

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