Answer:
43.2 ft
Step-by-step explanation:
Scale problems usually can be solved with proportions.
The wall whose real and scale drawing lengths you know gives you a ratio of real to scale drawing.
The ratio of real size to drawing size is:
12 ft to 2.5 in.
The drawing size of the second wall is 9 in.
We are looking for the real size of the 9-inch wall.
Let the unknown length be x.
For the 9-inch wall, the ratio of real to drawing size is
x to 9 in.
Now we set the two ratios equal. That is called a proportion.
12 ft to 2.5 in. = x to 9 in.
Use fractions for the ratios.
[tex] \dfrac{12~ft}{2.5~in.} = \dfrac{x}{9~in.} [/tex]
To solve the proportion, we cross multiply.
[tex] 2.5x = 9 \times 12 [/tex]
2.5x = 108
x = 108/2.5 = 43.2
Answer: 43.2 ft
