The rectangle below has an area of 8x^5+ 12x^3 + 20x^2.
The width of the rectangle is equal to the greatest common monomial factor of 8x^5, 12x^3, and 20x^2.
What is the length and width of the rectangle?

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.