Homework Help is Here – Start Your Trial Now!
Math
Algebra
The expressions x – 2 and x +3 represent the length and width of a rectangle, respectively. If the area of the rectangle is 24, what is the perimeter of the rectangle? O 20 O 22 O 24 O 28 O O O O

The expressions x – 2 and x +3 represent the length and width of a rectangle, respectively. If the area of the rectangle is 24, what is the perimeter of the rectangle? O 20 O 22 O 24 O 28 O O O O

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Topic Video
Question
### Instructions Choose the best answer. If necessary, use the paper you were given. ### Question The expressions \(x - 2\) and \(x + 3\) represent the length and width of a rectangle, respectively. If the area of the rectangle is 24, what is the perimeter of the rectangle? - ○ 20 - ○ 22 - ○ 24 - ○ 28 ### Explanation for Educators: This question tests the understanding of algebraic expressions in geometry, specifically relating to the area and perimeter of rectangles. The student is required to: 1. Set up the equation for the area of the rectangle using the given expressions. 2. Solve for \(x\). 3. Calculate the length and width of the rectangle. 4. Determine the perimeter using the found dimensions. Step-by-step guide: - The given expressions for length and width are \(x - 2\) and \(x + 3\), respectively. - Set up the area equation: \((x - 2)(x + 3) = 24\). - Solve this quadratic equation for \(x\). - Once \(x\) is found, substitute back into \(x - 2\) and \(x + 3\) to find the length and width. - Finally, use the perimeter formula \(P = 2 \times (\text{Length} + \text{Width})\). By following these steps, students should be able to identify the correct multiple-choice answer.
Transcribed Image Text:### Instructions Choose the best answer. If necessary, use the paper you were given. ### Question The expressions \(x - 2\) and \(x + 3\) represent the length and width of a rectangle, respectively. If the area of the rectangle is 24, what is the perimeter of the rectangle? - ○ 20 - ○ 22 - ○ 24 - ○ 28 ### Explanation for Educators: This question tests the understanding of algebraic expressions in geometry, specifically relating to the area and perimeter of rectangles. The student is required to: 1. Set up the equation for the area of the rectangle using the given expressions. 2. Solve for \(x\). 3. Calculate the length and width of the rectangle. 4. Determine the perimeter using the found dimensions. Step-by-step guide: - The given expressions for length and width are \(x - 2\) and \(x + 3\), respectively. - Set up the area equation: \((x - 2)(x + 3) = 24\). - Solve this quadratic equation for \(x\). - Once \(x\) is found, substitute back into \(x - 2\) and \(x + 3\) to find the length and width. - Finally, use the perimeter formula \(P = 2 \times (\text{Length} + \text{Width})\). By following these steps, students should be able to identify the correct multiple-choice answer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Quadrilaterals
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS