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 AA is a scale image of Figure BB.
What is the value of xx?
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4

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 30003000 feet and height of 12001200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 1010 inches.
What scale is Alexander using?
1 inch1\text{ inch} :
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
feet\text{feet}
What is the height of Alexander's triangle in inches?
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
inches\text{inches}

Practice problem 3: Scale model

Problem 3
Rena is building a 1:1801:180 scale model of a real castle. Her model has a rectangular base that is 33 feet wide and 44 feet long.
What is the area of the base of the actual castle in square feet?
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
square feet\text{square feet}

Practice problem 4: Moon challenge

Problem 4
The earth is approximately 80008000 miles in diameter. The moon is approximately 20002000 miles in diameter. The distance between the two is approximately 240,000240{,}000 miles.
You build a two-dimensional scale model of the earth and moon. You use a circle with a diameter of 11 inch to model the moon.
In your model, what is the diameter of the earth in inches?
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
inches
In your model, what is the distance between the moon and the earth in inches?
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
inches