Well, the answer to the question in your picture is $1200.
If x is the original price, and we took 23%, or 0.23 from that, we are left with 77%, or 0.77 of the full price.
So 0.77x = 924
x = 924/0.77
x = 1,200
1200 - 0.23(1200) = 924
924 = 0.77x
For this case we have that by definition, a direct variation is given by:

Where:
k: It is the constant of proportionality of the variables.
On the other hand, we have that the inverse variation is given by:

Where:
k: It is the constant of proportionality of the variables.
In this way, the correct option is: 
ANswer:
Option A
we know that
the perimeter of the rectangle is equal to

where
P is the perimeter of the rectangle
W is the width of the rectangle
L s the length of the rectangle
In this problem

Substitute the values in the formula above


therefore
the answer is
the length of the longer side of the rectangle is equal to 
Not sure what the question is
But 1/4 as a decimal gives us 0.25