Respuesta :

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)