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Lesson 2: 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?
:
$\text{feet}$
What is the height of Alexander's triangle in inches?
$\text{inches}$

## Practice problem 3: Scale model

Problem 3
Rena is building a $1:180$ 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?
$\text{square feet}$

## 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 $240,000$ 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