Question

In a scale drawing of a house 1 in represents 8 ft

Answer 1

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:

`\begin{gathered} \frac{1\text{ in}}{8\text{ ft}}=\frac{x\text{ in}}{32\text{ ft}}\\ \\ 8x=32\\ \\ x=(32)/(8)=4 \end{gathered}`

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.

`\begin{gathered} \frac{1\text{ in}}{8\text{ ft}}=\frac{3\text{ in}}{x\text{ ft}}\\ \\ x=24\text{ ft} \end{gathered}`

The real house is 24 feet tall.