
Concept explainers
(a)
To Find:The different objects that are closer to a golden rectangle.
(a)

Answer to Problem 19HP
Explanation of Solution
Given:Many objects such as credit cards are shaped like golden rectangles. A golden rectangle is a rectangle in which the ratio of the length to the width is approximately 1.618 to 1. This ratio is called the golden ratio.
List of three more objects that are close to a golden ratio.
DNA molecules in human body: Dimension 34 long by 21 wide.
Flower petals: Dimension 55 by 34 petals.
The position of nose and mount follows golden ratio. The distance from bottom of cheek and eyes 3 by 2 .
Now make table and ratio of each dimension.
(b)
To describe: The golden ratio of each objects.
(b)

Explanation of Solution
Given:The table of golden ratio of three objects.
In 3rd column the ratios are almost similar to golden ratio 1.168:1
All ratio closer to golden ratio.
(b)
To find: The other example of golden rectangle is used in architecture.
(b)

Answer to Problem 19HP
The pyramid of Khufu in Giza, Egypt.
The taj Mahal in India.
The Lincon Memorial in Washington, D.C.
Explanation of Solution
Given: The table of golden ratio of three objects.
The pyramid of Khufu in Giza, Egypt.
The taj Mahal in India.
The Lincon Memorial in Washington, D.C.
Chapter 6 Solutions
Pre-Algebra, Student Edition
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