SOLUTION: How do you solve this word problem? A rug placed in a room which is twelve meters long and eight meters wide covers one-third the floor area and leaves a uniform strip of bare f

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: How do you solve this word problem? A rug placed in a room which is twelve meters long and eight meters wide covers one-third the floor area and leaves a uniform strip of bare f      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 50562: How do you solve this word problem?
A rug placed in a room which is twelve meters long and eight meters wide covers one-third the floor area and leaves a uniform strip of bare floor around the edges. What are the dimensions of the rug?
Please show and explain all the steps. Thank you so much.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
THE TOTAL AREA OF THE ROOM IS 12*8=96 METERS THUS 1/3*96=32
THUS THE DIMENTIONS OFTHE RUG HAVE TO BE PROPORTIONAL TO THE ROOM SIZE OR THE LENGTH OF THE RUG IS 12/8 OR 1.5 TIMES THE WIDTH THUS THE RUG SIZE IS
X*1.5X=32 OR 1.5X^2=32 OR X^2=32/1.5 OR X^2=21.333 OR X=4.619 FOR THE WIDTH &
1.5*4.619=6.928 THUS 4.619*6.928=32 OR 32=32