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 ->
Customizable Word Problem Solvers
-> Travel
-> 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
Log On
Question 171648This question is from textbook
: 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
You can put this solution on YOUR website! 9*12=108 M^2 IS THE ROOM AREA.
(9-2X)(12-2X)=108/2
108-24X-18X+4X^2=54
4X^2-42X+108-54=0
4X^2-42X+54=0
(4X-6)(X-9)=0
4X-6=0
4X=6
X=6/4 OR 1.5 ANS.
PROOF:
(9-2*1.5)(12-2*1.5)=108/2
(9-3)(12-3)=54
6*9=54
54=54
ANS: THE RUG SHOULD BE 6 BY 9 METERS.
(