Question

The length of a living room is 12 feet and its width is 1012 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 1

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

Step-by-step explanation:

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

Area = length × width

The length of a living room is 12 feet and its width is 10 1/2 feet. If the length of the room is being expanded by x feet, then the new length would be (12 + x) feet

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

10.5(12 + x)

The expanded form of the expression would be

(126 + 10.5x) square feet