Question

lesson 1 | session 2
name
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.
1.25×10 = 12.5 1.5×10 = 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
efia draws this scale drawing of two famous landmarks. each inch in the drawing represents 400 ft on the actual landmark. approximately how much taller is the actual eiffel t

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 of the basement is 28 ft. Using the scale - factor, the width of the drawing $w = 28\times\frac{1}{10}=2.8$ in.

Step3: Calculate the length of the drawing

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

Answer:

The drawing is 2.8 in. wide and 3.5 in. long.