A rectangular floor has an area of 500 square meters. Three rectangular pieces of carpet completely cover the floor. The three pieces of carpet are 150, 200, and 300 square meters, and they overlap in some places. There are 110 square meters of floor that are covered by exactly two pieces of carpet. How many square meters of floor are covered by three pieces of carpet?

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter3: Math Models
Section: Chapter Questions
Problem 441PT: Two planes leave Dallas at the same time. One heads east at a speed of 428 miles per hour. The other...
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%

A rectangular floor has an area of 500 square meters. Three rectangular pieces of carpet completely cover the floor. The three pieces of carpet are 150, 200, and 300 square meters, and they overlap in some places. There are 110 square meters of floor that are covered by exactly two pieces of carpet. How many square meters of floor are covered by three pieces of carpet?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,