2. Main Idea and New Vocabulary Example 1: Use a Map Scale
Example 2: Use a Scale Model
Example 3: Find a Scale Factor
Example 4: Construct a Scale Model
Lesson Menu

3. Solve problems involving scale drawings.
scale model
scale
scale factor
Main Idea/Vocabulary

4. MAPS What is the actual distance between Daytona Beach and Orlando?
Use a Map Scale
MAPS What is the actual distance between Daytona Beach and Orlando?
Step 1 Use an inch ruler to find the map distance between the two cities. The map distance is about or 1.75 inches.
Example 1

5. Use a Map Scale
Step 2 Write and solve a proportion using the scale. Let d represent the actual distance between the cities.
0.5  d = 17.3  Cross products
0.5d = Multiply.
Divide each side by 0.5.
Example 1

6. Use a Map Scale d = 60.55 Simplify.
Answer: The actual distance between Daytona Beach and Orlando is about 61 miles.
Example 1

7. MAPS The distance on a map has a scale of 0. 5 inch = 14 miles
MAPS The distance on a map has a scale of 0.5 inch = 14 miles. The measured distance between West Palm Beach and Ft. Lauderdale on the map is 1.5 inches. What is the actual distance between these two cities?
A. 21 miles
B. 28 miles
C. 42 miles
D. 56 miles
Example 1 CYP

8. Use a Scale Model
MURALS An artist is painting a large mural of flowers on the side of a school. If she uses the scale 4 inches = 1 inch, how large will the mural painting of a rose bloom be if it is inches high?
Example 2

9. Answer: The mural painting of the rose bloom will be 25 inches high.
Use a Scale Model
4  6.25 = 1  h Cross products
25 = h Multiply.
Answer: The mural painting of the rose bloom will be 25 inches high.
Example 2

10. FURNITURE A full-size model is being created from a child-size rocking chair which has a height of 15 inches. If the scale to be used is 4 inches = 1 inch, what is the height of the model?
A. 40 in.
B. 55 in.
C. 60 in.
D. 80 in.
Example 2 CYP

11. Find the scale factor of a blueprint if the scale is inch = 3 feet.
Find a Scale Factor
Find the scale factor of a blueprint if the scale is inch = 3 feet.
Convert 3 feet to inches. Divide out common units.
Rewrite the division sentence as a multiplication sentence.
Simplify.
Example 3

12. Answer: The scale factor is .
Find a Scale Factor
Answer: The scale factor is
Example 3

13. Find the scale factor of a blueprint if the scale is inch = 5 feet.
Example 3 CYP

14. Construct a Scale Model
BUILDINGS An architect is making a model of an apartment building that is 150 feet tall. Find the scale if the model of the apartment building is 3 inches tall. Using this scale, find the height of the model of a house nearby if the actual height is 25 feet.
Divide the numerator and denominator by 3 so the numerator equals 1.
Example 4

15. Construct a Scale Model
The scale is 1 inch = 50 feet. Using this scale, find the height of a model of a nearby house.
1  25 = 50  x Find the cross products.
25 = 50x Multiply.
= x Divide by 50.
Example 4

16. Construct a Scale Model
Answer: The scale is 1 inch = 50 feet. The height of the model of the nearby house is inch.
Example 4

17. PARKS Steve is making a model replica of a park near his house
PARKS Steve is making a model replica of a park near his house. One of the trees in his model is 3 inches tall and represents a tree that is actually 15 feet tall. Find the scale of the model and then using this scale, find the actual height of another tree in his model that is 2 inches tall.
A. 1 inch = 12 feet; 24 feet
B. 1 inch = 5 feet; 13 feet
C. 1 inch = 5 feet; 10 feet
D. 1 inch = 3 feet; 6 feet
Example 4 CYP