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

Respuesta :

Answer:

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.

The  Area of living room is [tex](126+10.5)[/tex] square feet.

The length of the room is being expanded by x feet

So that, length of room [tex]=(12+x)feet[/tex]

Width of room [tex]= 10\frac{1}{2}=10.5feet[/tex]

Area of the room,

            [tex]Area=length *width\\\\Area=(12+x)*10.5\\\\Area=126+10.5x[/tex]

Thus, Area of loving room is [tex](126+10.5)[/tex] square feet.

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