Blue was not the imposter.
Answer:
I hope it's helpful.
Step-by-step explanation:
In mathematics, an extraneous solution (or spurious solution) is a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.
24=2(w+4)+2w=4w+8, subtract 8 from both sides 4w=16, w=4. L=w+4 so l is 8. The dimensions are 8 by 4.
Answer: 
Step-by-step explanation:
Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':

Where "O" is the center of dilation at (a,b) and "k" is the scale factor.
In this case you can identify that:

Therefore, susbtituting values into the formula shown above, you get that the coordinates ot the resulting triangle D'E'F, are the following:
Vertex D' → 
Vertex E' → 
Vertex F' → 
For this case we have the following expression:
x ^ 2 + 15x + 56
We can factor this expression to find the possible dimensions of the rectangle.
Factoring we have:
(x + 7) (x + 8)
Answer:
the possible dimensions are:
(x + 7) * (x + 8)