Answer: 6 ft by 6 ft (choice C)
Reason:
The closet area is 1/4 of the bedroom area.
This means the linear dimensions of the closet are 1/2 of their corresponding counterparts.
Notice how [tex]\sqrt{\frac{1}{4}} = \frac{\sqrt{1}}{\sqrt{4}} = \frac{1}{2}[/tex]
This is because (1/2)*(1/2) = 1/4.
Take half of 12 to get 6. Therefore, the closet is 6 ft by 6 ft
Check:
- A = bedroom area = 12*12 = 144 sq ft
- B = closet area = 6*6 = 36 sq ft
- C = B/A = 36/144 = 1/4 to show that the closet is one-fourth in area compared to the bedroom.
The answer is confirmed.
