Question

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

Answer 1

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

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)