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Lesson 8: Scale drawings

# Scale drawing word problems

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

## Practice problem 1: Two figures

Problem 1
Figure A is a scale image of Figure B.
What is the value of x?

## Practice problem 2: Map

Problem 2
Alexander is drawing a map of the Federal Triangle in Washington, D.C. The actual Federal Triangle has a base of 3000 feet and height of 1200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 10 inches.
What scale is Alexander using?
1, start text, space, i, n, c, h, end text :
start text, f, e, e, t, end text
What is the height of Alexander's triangle in inches?
start text, i, n, c, h, e, s, end text

## Practice problem 3: Scale model

Problem 3
Rena is building a 1, colon, 180 scale model of a real castle. Her model has a rectangular base that is 3 feet wide and 4 feet long.
What is the area of the base of the actual castle in square feet?
start text, s, q, u, a, r, e, space, f, e, e, t, end text

## Practice problem 4: Moon challenge

Problem 4
The earth is approximately 8000 miles in diameter. The moon is approximately 2000 miles in diameter. The distance between the two is approximately 240, comma, 000 miles.
You build a two-dimensional scale model of the earth and moon. You use a circle with a diameter of 1 inch to model the moon.
In your model, what is the diameter of the earth in inches?
inches
In your model, what is the distance between the moon and the earth in inches?
inches

## Want to join the conversation?

• who introduced scale drawing
• A really smart demon
• why am i struggling so bad with basic math lol
• I wanna know the same thing lol , I just got mad for no reason this is basic stuff lol
• f whoever made math like wth
• The first two questions are kinda hard to understand. Can someone simplify them for me?
• for number two its 1 inch for 300 feet its easy for the second part after that
• This was so confusing I did not get it at all
• I am so confused...It was so easy in the lessons!
• who created or made up math?
• 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.