Alright, lets get started.
As per the scale, ![\frac{1}{4} '' = 1 '](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20%27%27%20%3D%201%20%27%20%20)
Means 0.25 '' = 1 ' (symbol '' denotes inches and ' denotes feet)
As per the drawing, the dimention of bedroom is
and
.
Means
![3\frac{1}{2} '' = 3 + \frac{1}{2} = 3 + 0.5 = 3.5''](https://tex.z-dn.net/?f=%203%5Cfrac%7B1%7D%7B2%7D%20%27%27%20%3D%203%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%20%3D%203%20%2B%200.5%20%3D%203.5%27%27%20)
converting into feet, we need to divide with 0.25.
Means the first dimension would be : ![\frac{3.5}{0.25} = 14 '](https://tex.z-dn.net/?f=%20%5Cfrac%7B3.5%7D%7B0.25%7D%20%20%3D%2014%20%27%20)
Converting
into decimal : 5 + 0.25 = 5.25
Similarly, the second dimension in feet would be : ![\frac{5.25}{0.25} = 21 '](https://tex.z-dn.net/?f=%20%5Cfrac%7B5.25%7D%7B0.25%7D%20%3D%2021%20%27%20%20)
Hence the dimension of bedroom will be 14 ft by 21 ft : Option A : Answer
Hope it will help :)