For this problem, we are given the drawing of a house and the sacle at which it was drawn. We need to answer a couple of question regarding the dimensions.
We are told that the real house is 32 feet long. We need to determine the length in the drawing, we have:
[tex]\begin{gathered} \frac{1\text{ in}}{8\text{ ft}}=\frac{x\text{ in}}{32\text{ ft}}\\ \\ 8x=32\\ \\ x=\frac{32}{8}=4 \end{gathered}[/tex]
The drawing is 4 inches long.
Now we need to determine the height of the real house if the drawing has a height of 3 inches.
[tex]\begin{gathered} \frac{1\text{ in}}{8\text{ ft}}=\frac{3\text{ in}}{x\text{ ft}}\\ \\ x=24\text{ ft} \end{gathered}[/tex]
The real house is 24 feet tall.
