Question

practice using scale to find distances
study the example showing how to use a scale drawing to find an actual
distance. then solve problems 1 - 5.
example
colin makes a scale drawing of his bedroom. every inch in his drawing
represents 10 feet in his actual bedroom. the drawing is 1.25 in. wide and
1.5 in. long. how wide and long is his actual bedroom?
you can use a scale factor to find the dimensions.
the scale from the drawing to the bedroom is 1 in. to 10 ft, so the scale factor
from the drawing to the bedroom is $\frac{10}{1}$, or 10.
$1.25\times10 = 12.5$ $1.5\times10 = 15$
colins bedroom is 12.5 ft wide and 15 ft long.
1 a drawing of a basement uses the same scale as the example. the basement is
28 ft wide and 35 ft long. how wide and long is the drawing? show your work.
solution

Explanation:

Step1: Determine the scale factor

The scale is \(1\) in. to \(10\) ft. So the scale factor from actual to drawing is \(\frac{1}{10}\).

Step2: Calculate the width of the drawing

The actual width is \(28\) ft. Using the scale factor, the width of the drawing is \(28\times\frac{1}{10}=2.8\) in.

Step3: Calculate the length of the drawing

The actual length is \(35\) ft. Using the scale factor, the length of the drawing is \(35\times\frac{1}{10}=3.5\) in.

Answer:

The drawing is \(2.8\) inches wide and \(3.5\) inches long.