For Problems 45-56, set up an algebraic equation and solve each problem. (Objective 3)
The perimeter of a rectangle is 114 centimeters. If the ratio of its width to its length is 7 to 12, find the dimensions of the rectangle.
The dimensions of the rectangle.
The comparison of the two numbers by division, we can write in the form of the ratio as . The statement of equality between two ratios is known as a proportion. Therefore if are two same ratios, the proportion ratio can be formed .
This property can be solved as follows.
Multiply on both sides.
The perimeter of the rectangle can be expressed as.
Here, the length of the rectangle is in cm and the width of the rectangle is in cm
Substitute for perimeter in the above expression.
For the given rectangle the ratio of width to length given as
Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!Get Started
Calculus: An Applied Approach (MindTap Course List)
Statistics for The Behavioral Sciences (MindTap Course List)
Calculus (MindTap Course List)
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Precalculus: Mathematics for Calculus (Standalone Book)
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Calculus: Early Transcendental Functions
Understanding Basic Statistics
Finite Mathematics and Applied Calculus (MindTap Course List)
Single Variable Calculus
Probability and Statistics for Engineering and the Sciences
Calculus: Early Transcendentals
Essentials Of Statistics
Single Variable Calculus: Early Transcendentals, Volume I
Elementary Geometry For College Students, 7e
Contemporary Mathematics for Business & Consumers
Elementary Technical Mathematics
Mathematical Applications for the Management, Life, and Social Sciences
Mathematical Excursions (MindTap Course List)
Elements Of Modern Algebra
Calculus of a Single Variable
Trigonometry (MindTap Course List)
Calculus: Early Transcendental Functions (MindTap Course List)
Single Variable Calculus: Early Transcendentals
Study Guide for Stewart's Multivariable Calculus, 8th
Finite Mathematics for the Managerial, Life, and Social Sciences
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Elementary Geometry for College Students
Introduction To Statistics And Data Analysis