To find: The scale of rectangle
Answer to Problem 22PPS
The scale factor is
Explanation of Solution
Given:
The rectangle
The rectangle
Rectangle
Calculation:
Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio.
As the given two rectangles are similar so ratio of corresponding sides is constant.
The ratio of the corresponding sides are as:
The scale factor is the quotient of the dimensions of the rectangles. So the scale factor is given as:
The perimeter (sum of all sides) of two rectangles are calculated as:
The perimeter of both the rectangles are
Therefore, the scale factor is
Chapter 7 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Elementary Statistics: Picturing the World (6th Edition)
A First Course in Probability (10th Edition)
Calculus: Early Transcendentals (2nd Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning