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### Course: 7th grade (Eureka Math/EngageNY) > Unit 4

Lesson 3: Topic C: Scale drawings- Exploring scale copies
- Explore scale copies
- Corresponding points and sides of scaled shapes
- Corresponding sides and points
- Identifying scale copies
- Identify scale copies
- Identifying scale factors
- Scale copies
- Identifying values in scale copies
- Scale drawings
- Solving a scale drawing word problem
- Interpreting a scale drawing
- Scale drawing word problems
- Making a scale drawing
- Construct scale drawings
- Scale factors and area
- Relate scale drawings to area

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# Scale drawing word problems

Use scale drawings to solve problems in real-world contexts.

## Practice problem 1: Two figures

## Practice problem 2: Map

## Practice problem 3: Scale model

## Practice problem 4: Moon challenge

## Want to join the conversation?

- who introduced scale drawing(74 votes)
- A really smart demon(138 votes)

- why am i struggling so bad with basic math lol(81 votes)
- I wanna know the same thing lol , I just got mad for no reason this is basic stuff lol(46 votes)

- this is the most confusing thing ever(33 votes)
- This was so confusing I did not get it at all(35 votes)
- a scale copy is basically just view it as a porportion problem--since you are scaling the sides think of it as a porportion problem for example: something on a map is 2 inches for 1 meter in real life, if my home is 4 inches away from the bank on a map, then how many meters apart is it in real life? Basically, since 2 inches = 1 meter, then 4 inches = x meters. 2 * 2 = 4, so we multiply 1 meter by 2 too since we are scaling it by 2. 1 * 2 = 2 meters in real life. hopefully this helped 👍(1 vote)

- The first two questions are kinda hard to understand. Can someone simplify them for me?(23 votes)
- for number two its 1 inch for 300 feet its easy for the second part after that(12 votes)

- I is confused with problem 1,3,4. Plz help(13 votes)
- #1- If diagram A is the scaled image of diagram B, then diagram B is the
**original**. If you were to set up a ratio, it would look something like this:

3 : 4

x : 7.2

Using this, you can figure out x. 7.2 / 4 = 1.8, which you multiply by 3 to get 5.4 (which is the answer).

#3- They tell you the scale is 1 : 180. In this case, it means that 1 ft (in the model) is equal to 180**real**ft.

Width: 3 model ft = 3 x 180 = 540 real ft

Length: 4 model ft = 3 x 180 = 720 real ft

Then, to find the area of the real castle, you multiply 540 by 720 to get your answer: 388,800 sq. ft.

#4- The problem tells you that the moon has a diameter of 2,000 miles in real life. In the model, the moon has a diameter of 1 inch. Using this information, you can figure out the scale: 1 model inch = 2,000 real miles. So if the Earth is 8,000 miles in diameter, then the model Earth would be 4 inches in diameter. Finally, if the distance between them is 240,000 real miles, then the model distance between them would be 120 inches.

Sorry if it's a little wordy. Hope this helps!(39 votes)

- who created or made up math?(23 votes)
- Beginning in the 6th century BC with the Pythagoreans, the Ancient Greeks began a systematic study of mathematics as a subject in its own right with Greek mathematics.[21] Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.

For more info. check out this website!

https://en.wikipedia.org/wiki/Mathematics#:~:text(19 votes)

- I am so confused...It was so easy in the lessons!(30 votes)
- um i'm still really confused on how to do this(17 votes)
- I don't understand the 2nd question. Can someone explain it to me?(10 votes)
- the scale is1:180. The model of it is 3 feet high and 4 feet wide, so you do 180 x 3 and 180 x 4. After doing that you multiply both of them together.(7 votes)