Concept explainers
To compute the side of the square.
Answer to Problem 52SGR
The side of the square is 12 feet.
Explanation of Solution
Given information :
The side of the square is quadrupled if the length and breadth is increased by 4 inches.
Formula used :
Area of a square is given by
Once the two separate areas are found out, equate the areas to compute the side of the square. Use factorization of a
Calculation :
Let this be equation 1. This is the area of the original square.
Let this be equation 2. This is the new area of the square, as per the given information.
Putting the value of ‘a’ of equation 1 in equation 2.
Simplifying the equation.
Arranging this is a quadratic equation form.
Factorize this to get the length.
Breaking the middle term.
Arranging the common terms
These are the factors of the equation.
Since the length of the square cannot be a negative value, the length is 12 feet.
Chapter 9 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
College Algebra (7th Edition)
College Algebra
Linear Algebra and Its Applications (5th Edition)
College Algebra
Thinking Mathematically (6th Edition)
- 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