Diana wants to decorate her floor with a shaggy pink rug. The area of the square feet. Which of the following could be the dimensions of the room, in feet?

Answer:
(2y+z) (y+3)
Step-by-step explanation:
Area of the room is 2y^2 + 6y + yz+ 3z
We apply grouping method
we group first two terms and last two terms
[tex](2y^2 + 6y) + (yz+ 3z)[/tex]
We take out GCf from each group
GCF of 2y^2 + 6y is 2y
GCF of yz + 3z is z
[tex]2y(y+ 3) + z(y+ 3)[/tex]
Factor out y+3
(2y+z) (y+3)