# Lesson 6

Changing Scales in Scale Drawings

Let’s explore different scale drawings of the same actual thing.

### Problem 1

Here is a scale drawing of a swimming pool where 1 cm represents 1 m.

1. How long and how wide is the actual swimming pool?
2. Will a scale drawing where 1 cm represents 2 m be larger or smaller than this drawing?
3. Make a scale drawing of the swimming pool where 1 cm represents 2 m.

### Problem 2

A map of a park has a scale of 1 inch to 1,000 feet. Another map of the same park has a scale of 1 inch to 500 feet. Which map is larger? Explain or show your reasoning.

### Problem 3

On a map with a scale of 1 inch to 12 feet, the area of a restaurant is 60 in2. Han says that the actual area of the restaurant is 720 ft2. Do you agree or disagree? Explain your reasoning.

### Problem 4

If Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3, what is the perimeter of Q?

(From Unit 2, Lesson 2.)

### Problem 5

Triangle $$DEF$$ is a scaled copy of triangle $$ABC$$. For each of the following parts of triangle $$ABC$$, identify the corresponding part of triangle $$DEF$$.

• angle $$ABC$$
• angle $$BCA$$
• segment $$AC$$
• segment $$BA$$
(From Unit 2, Lesson 2.)