Scale Measurements
Solve the following scale measurement word problems:
- You are visiting Boston and looking at a tourist map. You are currently standing at Paul Revere's Historic House. You want to walk to Harvard Square. But you aren't sure if you have time. On the map they are only about 11.4 centimeters apart. If the map scale says that 1 cm is equal to 1 mile, how far will you have to walk?
- You looking at a very complex treasure map. There are two possible routes to the treasure. One route is 5.5 inches long. The other is 6.2 inches long. If the maps scale says that 1 inch is equal to 50 yards, how much longer is the longer route?
- You are looking at a small map. You know that it's 3600 miles from your house in California to your grandma's house in New York. If the map scale is 500 miles is equal to $\dfrac{1}{2}$ inch, how far apart will your houses be on the map?
- On an emergency exit map on the wall of a building, emergency exits are 5 inches apart. If the scale of the map is 2 inches equals 14 yards, how far apart are the exits in the actual building?
- You have a pattern for a dress for you. You want to make a matching dress for your doll as well. You are 52 inches tall. Your doll is 18 inches tall. If the dress for you requires 3.5 yards of fabric, how much fabric do you need for the doll's dress?
- You are trying to create a mural. You have a drawing on graph paper. Each square on your graph paper is 1 square cm. The wall you want to cover is 60 meters by 60 meters. If your drawing is 12 cm tall and you want to make it fill the entire height of the wall, you need to turn each 1 square centimeter into what size square?