## Scale drawings

# Scale drawing word problems

CCSS Math: 7.G.A.1

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 $x$?**

**Your answer should be**- an integer, like $6$
- an
*exact*decimal, like $0.75$ - a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$

Explain

## 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?**

$1\text{ inch}$ : $\text{feet}$

**Your answer should be**- an integer, like $6$
- an
*exact*decimal, like $0.75$ - a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$

**What is the height of Alexander's triangle in inches?**

**Your answer should be**- an integer, like $6$
- an
*exact*decimal, like $0.75$ - a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$

Explain

## 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?**

**Your answer should be**- an integer, like $6$
- an
*exact*decimal, like $0.75$ - a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$

Explain

## 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?**

**Your answer should be**- an integer, like $6$
- an
*exact*decimal, like $0.75$ - a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$

**In your model, what is the distance between the moon and the earth in inches?**

**Your answer should be**- an integer, like $6$
- an
*exact*decimal, like $0.75$ - a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$

Explain