Answer:
The actual size of the kitchen is <u>1.17 feet</u>.
Step-by-step explanation:
Given:
Blueprints of a house are drawn to the scale of 1/4=1 foot .On the blueprints, one of the kitchen walls is 3.5 in.
Now, to find the actual size of the kitchen.
Let the actual size be ![x.](https://tex.z-dn.net/?f=x.)
On the blueprints, one of the kitchen walls is 3.5 in.
Blueprints of a house are drawn to the scale of 1/4=1 foot.
1 foot = 12 in.
![\frac{1}{4}=\frac{1}{4} \times 12=3\ in.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B1%7D%7B4%7D%20%5Ctimes%2012%3D3%5C%20in.)
So, 3 in is equivalent to 1 foot.
Thus, 3.5 in is equivalent to ![x.](https://tex.z-dn.net/?f=x.)
Now, to get the actual size by using cross multiplication method:
![\frac{3}{1} =\frac{3.5}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B1%7D%20%3D%5Cfrac%7B3.5%7D%7Bx%7D)
<em>By cross multiplying we get:</em>
![3x=3.5](https://tex.z-dn.net/?f=3x%3D3.5)
<em>Dividing both sides by 3 we get:</em>
![x=1.17\ feet.](https://tex.z-dn.net/?f=x%3D1.17%5C%20feet.)
Therefore, the actual size of the kitchen is 1.17 feet.