Han has a thin rectangular sheet of paper. Its area is 450 square inches. He folds it into thirds, and then he folds the resulting rectangle into thirds again. Han believes that after two rounds of folding, the visible area of the folded paper will be 150 square inches or one-third of the original area. Do you agree? Explain your reasoning. What is the visible area of the paper, in square inches, after 4 rounds of folding? Explain or show your reasoning.

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,...
icon
Related questions
Question

Han has a thin rectangular sheet of paper. Its area is 450 square inches. He folds it into thirds, and then he folds the resulting rectangle into thirds again.

  1. Han believes that after two rounds of folding, the visible area of the folded paper will be 150 square inches or one-third of the original area. Do you agree? Explain your reasoning.


  2. What is the visible area of the paper, in square inches, after 4 rounds of folding? Explain or show your reasoning.

 

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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