We know that the area of the rectangle is
square feet. The dimensions of a rectangle are its length and width. Recall that the is length times width.
We know that the
of the table is one foot shorter than twice its width. Let's call the
of the table
The length can be written as
We now have an equation with one variable. If we can solve for the width
then we can find the length. Let's start by putting our equation in .
Now we can factor the right hand side of the equation so that we can apply the .
Now that the equation is in , let's apply the Zero-Product Property.
We can see that
However, recall that
represents width. Since it doesn't make sense to have a negative value as a width,
is the only correct value.