To determine the value of
The value of
The, other value of
Given:
Given the diagram of the paper and its stripes:
Given that the area of the stripes is one third of the area of the paper.
Given the dimensions of the paper:
Concept Used:
Area of a rectangle:
Given the dimension of a rectangle:
Then, the area of the rectangle:
Quadratic formula:
Given a quadratic equation
Then, the solutions of the equation:
Calculation:
Find the area of the paper:
Given the dimensions of the paper:
Then, the area of the paper
Find the area of the stripes:
It is given that the area of the stripes
That is:
That is, the area of the strips:
Find an algebraic expression for the area of the stripes:
The given diagram is redrawn.
The area of the vertical stripe:
The area of the horizontal stripe:
Now, the area of the stripes,
Thus, the algebraic form of the area of the stripes:
Find the value of
Substitute
Thus, it is found that:
Then, the solutions of the equation:
Thus:
Now,
But, the value of
That is,
Then, it follows that,
Conclusion:
The value of
The, other value of
Chapter 1 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education