Question

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

Answer 1

Answer:

The length of the rectangle is $11x^{4}$ and width is $(5x^{2} + 1)$.

Step-by-step explanation:

The area of the green zone is $55x^{6}$ and the area of the purple zone is $22x^{4}$.

So, the total shaded zone is a rectangle having area = $55x^{6} + 22x^{4}$.

Now, factorizing the area expression we get, area = $11x^{4}(5x^{2} + 2)$.

Therefore, we can say the length of the rectangle is $11x^{4}$ and width is $(5x^{2} + 1)$. (Answer)