Your school wants to take out an ad in the paper congratulating the basketball team on a successful season, as shown to the right. the area of the photo will be half the area of the entire ad. what is the value of x?

Since the measurement can't be negative the correct answer for this case would be

Step-by-step explanation:

Let's assume that the figure attached illustrate the situation.

For this case the we know that the original area given by:

And we know that the initial area is a half of the entire area in red , so then:

And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

We multiply both terms using algebra and the distributive property and we got:

And we can rewrite the expression like this:

And we can solve this using the quadratic formula given by:

Where if we replace we got:

And the two possible solutions are then:

Since the measurement can't be negative the correct answer for this case would be