The length of a living room is 12 feet and its width is 10 1/2 feet. The length of the room is being expanded by x feet. Choose an expression to represent the new area of the living room in square feet and the expanded form of the expression. Select all that apply.

A. 10.5 (12x) square feet

B. (10.5 + 12 + x) square feet

C. 10.5 (12 + x) square feet

D. 126x square feet

E. (126 + 10.5x) square feet

F. (22.5 + x) square feet

Answer:E. (126 + 10.5x) square feet

Step-by-step explanation:

The length of the living room is 12 feet.

The width of the living room is

10 1/2 feet = 10.5 feet.

The length of the room is being expanded by x feet. This means that the new length of the room would be

12 + x = (12 + x) feet

The formula for determining the area of a rectangle is expressed as

Area = L * width.

Therefore, an expression to represent the new area of the living room in square feet and the expanded form of the expression would be

Area = 10.5 (12 + x)

Area = 126 + 10.5x