Question:
The length of a room is 18 1 /2 feet. If using 1 /4 inch = 1 foot scale, what would be the length of a wall on a blueprint of a floor plan?
Answer:
The length of a wall on a blueprint of a floor plan is [tex]4.625 \text{ or } 4\frac{5}{8} \text{ inches }[/tex]
Solution:
Given that,
[tex]Length\ of\ room = 18\frac{1}{2} \text{ feet }\\\\Length\ of\ room = 18.5 \text{ feet }[/tex]
The scale given is:
[tex]\frac{1}{4}\ inch = 1\ foot[/tex]
To find: Length of a wall on a blueprint of a floor plan
Let "x" be the length of a wall on a blueprint of a floor plan
Then from given,
[tex]\frac{1}{4}\ inch = 1\ foot\\\\x\ inches = 18.5\ feet[/tex]
This forms a proportion and we can solve by cross multiplying
[tex]\frac{1}{4} \times 18.5 = x \times 1\\\\x = 4.625\\\\In\ terms\ of\ mixed\ fraction,\\\\x = 4\frac{5}{8}[/tex]
Thus length of a wall on a blueprint of a floor plan is [tex]4.625 \text{ or } 4\frac{5}{8} \text{ inches }[/tex]
