If the area of the reactangle is given with the equation 120x^2 + 78x – 90, and tle length is given with L=12x+15, then the width can be calculates using the relationship between the area , the length and the width.
A=L*W
In our case, 120x^2 + 78x – 90=(12x+15)*W
W=(120x^2 + 78x – 90)/(12x+15)
W=10x-6