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Unit 1, Lesson 12
These two triangles are scaled copies of one another. The area of the smaller triangle is
g square units. What is the area of the larger triangle? Explain or show how you know.
5. Water costs $1.25 per bottle. At this rate, what is the cost of:
a. 10 bottles?
b. 20 bottles?
c. 50 bottles?
6. The first row of the table shows the amount of dish detergent and water needed to
make a soap solution.
a. Complete the table for 2, 3, and 4 batches.
b. How much water and detergent is needed for 8 batches? Explain your reasoning.
Student Workbook 105


Lesson 12 Practice Problems
Lesson 12 Practice Problems
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 - inch-by-1 1-inch piece of paper.
Select a scale that you think is the most appropriate for the scale drawing. Explain your
1, 45 0 FT
A. 1 inch to 1 foot
40 0 ktyou
B. 1 inch to 100 feet
1800 1, 450
C. 1 inch to 1 mile
D. 1 centimeter to 1 meter
1 , 456
JE. 1 centimeter to 50 meters
F. 1 centimeter to 1 kilometer
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?
25 12, 025
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.
A. 0.75 cm to 1 km
B. 1 cm to 12 km
C. 6 mm to 2 km
D. 0.3 mm to 40 m
E. 1 inch to 7.62 km
104 Grade 7 Math

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