Please somebody answer this. What is the length and width of the rectangle?

Answer:
The length of the rectangle is [tex]11x^{4}[/tex] and width is [tex](5x^{2} + 1)[/tex].
Step-by-step explanation:
The area of the green zone is [tex]55x^{6}[/tex] and the area of the purple zone is [tex]22x^{4}[/tex].
So, the total shaded zone is a rectangle having area = [tex]55x^{6} + 22x^{4}[/tex].
Now, factorizing the area expression we get, area = [tex]11x^{4}(5x^{2} + 2)[/tex].
Therefore, we can say the length of the rectangle is [tex]11x^{4}[/tex] and width is [tex](5x^{2} + 1)[/tex]. (Answer)