OK. Hold on tight. Here we go.
Remember ... the "solution" is the number that 'g' must be
in order to make the equation a true statement.
The original equation: You said that -2 = g - 9
Now, let's add 9 to each side: 7 = g .
For area A, the width will be √(3A/4), so for the three rugs, the widths are 6 ft, 9 ft, 12 ft. Corresponding lengths are 4/3 times that, so are 8 ft, 12 ft, 16 ft.
The rug dimensions are
.. 6 ft x 8 ft
.. 9 ft x 12 ft
.. 12 ft x 16 ft
Pick the one(s) that are on your list.
There are two pints every quarter.
So let's convert pints to quarter

There 4 1/2 pint is to 9/4 quarter.
Hope that helps!
p.s. look at my diagram to help you remember
5/8.
Keep in mind that a fraction is also division equation, and you are distributing 5 liters among 8 glasses. Five divided by eight; five over eight.