Lesson 12
Units in Scale Drawings
Let's use different scales to describe the same drawing.
Problem 1
The Empire State Building in New York City is about 1,450 feet high (including the antenna at the top) and 400 feet wide. Andre wants to make a scale drawing of the front view of the Empire State Building on an \(8 \frac{1}{2}\)inchby\(11\)inch piece of paper. Select a scale that you think is the most appropriate for the scale drawing. Explain your reasoning.
 1 inch to 1 foot
 1 inch to 100 feet
 1 inch to 1 mile
 1 centimeter to 1 meter
 1 centimeter to 50 meters
 1 centimeter to 1 kilometer
Problem 2
Elena finds that the area of a house on a scale drawing is 25 square inches. The actual area of the house is 2,025 square feet. What is the scale of the drawing?
Problem 3
Which of these scales are equivalent to 3 cm to 4 km? Select all that apply. Recall that 1 inch is 2.54 centimeters.
0.75 cm to 1 km
1 cm to 12 km
6 mm to 2 km
0.3 mm to 40 m
1 inch to 7.62 km
Problem 4
These two triangles are scaled copies of one another. The area of the smaller triangle is 9 square units. What is the area of the larger triangle? Explain or show how you know.
Problem 5
Water costs $1.25 per bottle. At this rate, what is the cost of:
 10 bottles?
 20 bottles?
 50 bottles?
Problem 6
The first row of the table shows the amount of dish detergent and water needed to make a soap solution.

Complete the table for 2, 3, and 4 batches.

How much water and detergent is needed for 8 batches? Explain your reasoning.
number of batches  cups of water  cups of detergent 

1  6  1 
2  
3  
4 