Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Concept explainers

Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Question
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Chapter 10.3, Problem 20P
To determine

To find: The least possible dimension of the rectangle.

Expert Solution & Answer
Check Mark

Answer to Problem 20P

The least possible dimension of the rectangle is 6.66 cm2 and 16.66 cm2

Explanation of Solution

Given,

Let x is the width of the rectangle and x +10 is the length of the rectangle.

Calculation:

Now, it is increased by 3 cm.

So,

x +3 is the width of the rectangle and x +13 is the length of the rectangle.

According to the question, the required equation is,

  (x+3)(x+13)≥111x2+16x+39−111≥0x2+16x−72≥0

Consider the positive value.

Solve further as,

  x≥3.66 cm

The width is calculated as,

  x+3=3.66+3 cm=6.66 cm

The length is calculated as,

  x+13=3.66+13 cm=16.66 cm

Thus, the least possible dimension of the rectangle is 6.66 cm2 and 16.66 cm2

Previous
Chapter 10.3, Problem 19P
Next
Chapter 10.3, Problem 21P

Chapter 10 Solutions

Algebra: Structure And Method, Book 1

Ch. 10.1 - Prob. 1OECh. 10.1 - Prob. 2OECh. 10.1 - Prob. 3OECh. 10.1 - Prob. 4OECh. 10.1 - Prob. 5OECh. 10.1 - Prob. 6OECh. 10.1 - Prob. 7OECh. 10.1 - Prob. 8OECh. 10.1 - Prob. 9OECh. 10.1 - Prob. 10OE
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Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY