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### Course: 7th grade (Illustrative Mathematics) > Unit 1

Lesson 8: Lesson 11: Scales without units# 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(64 votes)
- A really smart demon(109 votes)

- why am i struggling so bad with basic math lol(68 votes)
- I wanna know the same thing lol , I just got mad for no reason this is basic stuff lol(35 votes)

- f whoever made math like wth(49 votes)
- com on your not him(2 votes)

- The first two questions are kinda hard to understand. Can someone simplify them for me?(20 votes)
- for number two its 1 inch for 300 feet its easy for the second part after that(10 votes)

- This was so confusing I did not get it at all(30 votes)
- this is the most confusing thing ever(22 votes)
- I is confused with problem 1,3,4. Plz help(10 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!(32 votes)

- who created or made up math?(18 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(16 votes)

- I am so confused...It was so easy in the lessons!(25 votes)
- um i'm still really confused on how to do this(16 votes)