Activities

1. The square below is scaled by a factor of 1.5, what is the area of the new square?

2. What is the factor used to scale the triangles shown below? Show your work.

3. In technology class you are creating a dream house that will have a total of 2100 square feet.  You are building it in class using a scale of 1:25, what would the area be of the house you build?

4. A tree casts a shadow 5 feet long, while a house casts a shadow feet long. If the house is 30 feet high, how tall is the tree? Round to the nearest foot.

5. The following route is sown on a map that uses a scale of one inch equals 5 miles.  What is the distance shown?  Show your work.

6. What is the scale factor that was used to draw the larger figure? Explain your answer.

Answer Key/Rubric

1. The new square is going to be a 12 by 12.  Area = 144 units²

2. Scale factor of 0.75

3. The model house would have 84 ft². Student work might include but is not limited to,

• 
• 25x = 2100
• X = 84

4. The tree is 43 feet tall  Student work might include but is not limited to,

• 
• 3.5x = 150
• X = 42.857
• X ≈ 43

5. The total distance is miles.  Student work might include but is not limited to,

• total distance on the map

• miles

6. The scale factor that is used to get from the smaller rectangle to the larger rectangle is 3. .  Student work might include but is not limited to,

• Find the base and height of each rectangle.  The small rectangle has a base of 3 and a height of 1.  The large rectangle has a base of 9 and a height of 3.
• Find the relationship between 1:3 and 3:9
• The scale factor is 3