Answer:
The dimensions of the old rug are 8 ft by 12 ft
Step-by-step explanation:
Let
x ----> the length of the old rug
y ----> the width of the old rug
we know that
[tex]100\%+50\%=150\%=150\100=1.5[/tex]
so
The dimensions of the old rug multiplied by the factor 1.5 must be equal to the dimensions of the new rug
so
[tex]1.5x=12\\x=8\ ft[/tex]
[tex]1.5y=18\\y=12\ ft[/tex]
therefore
The dimensions of the old rug are 8 ft by 12 ft
