Sure, to determine the width of the rectangle, you would need to divide the area of the rectangle by its length.
Starting with the equation:
length * width = area
We have the area and the length, so substituting them into the equation gives us:
width = area / length
Our variables are:
- The area, which equals 35x^2 - 46x - 16 square inches
- The length, which equals 7x + 2 inches
So if we substitute those directly into our width equation, we get:
width = (35x^2 - 46x - 16) / (7x + 2)
Thus, the width of the rectangle is (35x^2 - 46x - 16) / x inches.