← The length of one side of a golden rectangle is 8.9 meters. Find the length of the other side. Notice that the other side could be either longer or shorter than the given side. Use the approximation 1.62 for your work. If 8.9 is the long side, the short side is (Round to two decimal places as needed.) meters. If 8.9 is the short side, the long side is meters. (Round to two decimal places as needed.)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.3: Solving Problems Involving Inequalities
Problem 14P
icon
Related questions
Question
**Problem Statement:**

The length of one side of a golden rectangle is 8.9 meters. Find the length of the other side. Notice that the other side could be either longer or shorter than the given side. Use the approximation φ ≈ 1.62 for your work.

---

**Calculations:**

1. **If 8.9 is the long side, the short side is** 

    \[ \frac{8.9}{1.62} \] 

    meters. 

   _(Round to two decimal places as needed.)_

2. **If 8.9 is the short side, the long side is** 

    \[ 8.9 \times 1.62 \] 

    meters. 

   _(Round to two decimal places as needed.)_

---

**Note:** The golden ratio (φ) is approximately 1.62.
Transcribed Image Text:**Problem Statement:** The length of one side of a golden rectangle is 8.9 meters. Find the length of the other side. Notice that the other side could be either longer or shorter than the given side. Use the approximation φ ≈ 1.62 for your work. --- **Calculations:** 1. **If 8.9 is the long side, the short side is** \[ \frac{8.9}{1.62} \] meters. _(Round to two decimal places as needed.)_ 2. **If 8.9 is the short side, the long side is** \[ 8.9 \times 1.62 \] meters. _(Round to two decimal places as needed.)_ --- **Note:** The golden ratio (φ) is approximately 1.62.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning