Answer:
Option C
Step-by-step explanation:
We know that the expression:
2*w^2 + 10*w
Represents the area of a rectangle with width w.
Now we want to find the situation that can be represented with the expression:
100 - 10*w - 2*w^2
Let's rewrite this as:
100 - (2*w^2 + 10*w)
Then we are subtracting the area of our rectangle to an area of measure 100.
Now, suppose that we have a square of 10in by 10 in.
The area of that square will be:
A = 10in*10in = 100 in^2
Now if we cut our rectangle (with an area = 2*w^2 + 10*w) from that square, the new area of the figure will be:
area = 100in^2 - (2*w^2 + 10*w)
Which is exactly the expression in the question, then the correct option is:
Option C
