Answer:
C) [tex]10.5(12+x)\ ft^2[/tex]
E) [tex](126+10.5x)\ ft^2[/tex]
Step-by-step explanation:
Given:
Length of the room = 12 ft
Width f the room = [tex]10\frac{1}{2}\ ft[/tex] = 10.5 ft
Length of the room is expanded by [tex]x[/tex] feet.
To find the expression representing the new area of the room.
Solution:
Since, length of the room is expanded by [tex]x[/tex] feet, so the new length of the room will be = [tex](12+x)\ ft[/tex]
Width = 10.5 ft
Area of the room = [tex]length\times width[/tex]
So, area will be given as:
⇒ [tex]10.5(12+x)\ ft^2[/tex] (Answer)
Using distribution, we can write:
⇒ [tex](126+10.5x)\ ft^2[/tex] (Answer)