Download Lesson 9 – Scale Drawings Example Exercises

Name
Date
Period
Homework
Geometry & Probability
Unit B
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Lesson 9 – Scale Drawings
A scale drawing represents something that is too large or too small to be drawn or built at actual size. Similarly, a
scale model can be used to represent something that is too large or built too small for an actual-size model. The
scale gives the relationship between the drawing/model measure and the actual measure.
Example
On this map, each grid unit represents 50 yards. Find the horizontal distance from Patrick’s Point to Agate Beach.
Patrick’s Point
Scale
to Agate Beach
← map
← actual
→
actual →
map
1 • x = 50 • 8
x = 400
It is 400 yards from Patrick’s Point to Agate Beach.
Cross products
Simplify.
Exercises
Find the actual distance between each pair of cities. SHOW YOUR WORK. Round to the nearest
tenth if necessary.
Map Distance Scale
Cities
Actual Distance
1. Los Angeles
and San Diego, CA
6.35 cm
1 cm = 20 mi
16.27 cm
2 cm = 15 mi
11.73 cm
1/2 cm = 20 mi
2. Des Moines and
Cedar Rapids, IA
3. Miami and
Jacksonville, FL
Find the length of each object on the scale drawing with the given scale. Then find the scale factor.
4. an automobile 16 feet long; 1 inch:6 inches
____________________
__________________
5. a pond 85 feet across; 1 inch = 4 feet
____________________
__________________
6. a flag 5 feet wide; 2 inches = 1 foot
____________________
__________________
Homework Unit B Lesson 9 page 2
Additional Practice
Use the diagram of a section of the art museum shown. Use a ruler to measure.
1. What is the actual length of the Impressionism Art
room?
2. Find the actual dimensions of the Baroque Art
room.
3. Find the scale factor for this blueprint. _________
Find the length of each model. Then find the scale factor.
4.
5.
6.
7. SKYSCRAPER A model of a skyscraper is made using a scale of 1 inch:75 feet. What is the height of the actual
building if the height of the model is 19 inches?
8. GEOGRAPHY Salem and Eugene, Oregon, are 64 miles apart. If the distance on the map is
scale of the map.
inches, find the
9. PYRAMIDS The length of a side of the Great Pyramid of Khufu at Giza, Egypt, is 751 feet. If you were to make a
model of the pyramid to display on your desk, which would be an appropriate scale: 1 in. = 10 ft or 1 ft = 500 ft?
Explain your reasoning.