Question

The expression 2w^2 + 10w represents the area of a rectangle with width of w inches. select the situation that could be represented by the expression 100-10w-2w^2​

Answer 1

Option C

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