Question

The length of a living room is 12ft and it's width is 10 1/2 ft. The length of the living 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 fotm of the expression? Select all that apply

Answer 1

C. 10.5(12 + x) square feet

E. (126 + 10.5x) square feet

Explanation:

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

length of a living room = 12ft

width = 10 1/2 ft

The length of the living room is being expanded by X feet

New length of a living room = 12ft + x feet

new area of the living room = length × width

= 12ft + x feet × 10 1/2 ft

= (12 + x) 10 1/2

Note: 10 1/2 is equivalent to 10.5

= (12 + x) 10.5

= (126 + 10.5x) square feet

Options that applies

C. 10.5(12 + x) square feet

E. (126 + 10.5x) square feet