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. Select all the expressions that represent the area of the living room in square feet.

Answer Choices:

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

Question

Mathematics

Lorelai Obrien

5 April, 00:45

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. Select all the expressions that represent the area of the living room in square feet.

Answer Choices:

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

+5

Answers (1)

Know the Answer?

Macie Mcmillan · Answer 1

C.

Step-by-step explanation:

You see, the answer is C. When you are calculating the area of a rectangle, you have to multiply length times width. That eliminates any possible answer of B., E., or F. Now we have A., C., and D. left. The answer is not A because we have to add the unknown expansion to the length (12), not multiply it. This reasoning also eliminates D from our set of answer choices which leaves us with C as our one and only answer.