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 Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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.
Similar questions
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning