SOLUTION: A decorator plans to place a rug in a room 9 m by 12 m in such a way that a uniform strip of flooring around the rug will remain uncovered. If the rug is to cover half of the floor
Algebra.Com
Question 171739This question is from textbook Algebra and Trigonometry: Structure and Method-Book 2
: A decorator plans to place a rug in a room 9 m by 12 m in such a way that a uniform strip of flooring around the rug will remain uncovered. If the rug is to cover half of the floor space, what should the dimensions of the rug be?
This question is from textbook Algebra and Trigonometry: Structure and Method-Book 2
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call the width of the uniform space around the
rug
The dimensions of the rug will then be
Half of the area of the 9 x 12 room is
Solve using quadratic formula
------------------------
The answers are:
The 1st answer is impossible, so the width of
the border around the rug is 1.5 m
The dimensions of the rug are
The dimensions of the rug are 6m x 9m
RELATED QUESTIONS
A decorator plans to place a rug in a room 9 m by 12 m in such a way that a uniform strip (answered by checkley77)
A decorator plans to place a rug in a room 9 m by 12 m in such a way that a uniform strip (answered by checkley77)
A decorator plans to place a rug in a room with the dimensions of 9 meters by 12 meters... (answered by richwmiller)
a decorator plans to place a rug in a room 9m by 12m in such a way that a uniform strip... (answered by solver91311)
A rug placed in room 12 m long and 9 m wide covers half the floor area and leaves a... (answered by checkley75)
Zachary Daniels wants to buy a rug for a room that is 12 ft wide and 15 ft long. he wants (answered by Purplestar002)
A rug 4 meters by 5 meters covers 2/3 of the floor area in a room. The rug touches two... (answered by solver91311)
I need help with the dimensions of a strip of flooring around a rug.
Catarina and... (answered by AnlytcPhil)
I would sincerely appreciate assistance with the following question:
A rug is to cover (answered by kingme18)