Alright, lets get started.
As per the scale, [tex] \frac{1}{4} '' = 1 ' [/tex]
Means 0.25 '' = 1 ' (symbol '' denotes inches and ' denotes feet)
As per the drawing, the dimention of bedroom is [tex] 3\frac{1}{2} '' [/tex] and [tex] 5\frac{1}{4} '' [/tex].
Means
[tex] 3\frac{1}{2} '' = 3 + \frac{1}{2} = 3 + 0.5 = 3.5'' [/tex]
converting into feet, we need to divide with 0.25.
Means the first dimension would be : [tex] \frac{3.5}{0.25} = 14 ' [/tex]
Converting [tex] 5\frac{1}{4} [/tex] into decimal : 5 + 0.25 = 5.25
Similarly, the second dimension in feet would be : [tex] \frac{5.25}{0.25} = 21 ' [/tex]
Hence the dimension of bedroom will be 14 ft by 21 ft : Option A : Answer
Hope it will help :)