Similar Figures Worksheets Grade 7

1. Tom is using a map with a scale of 1 inch = 56 miles. On the map, Tom measures the distance between two cities as 6 inches. What is the actual distance in miles between the two cities?
2. Emma is creating a scale model of the Eiffel Tower for her history project. The actual Eiffel Tower is 330 meters tall. Emma's model uses a scale where 1 centimeter represents 22 meters. If she also needs to include the antenna on top, which adds 24 meters to the actual height, what will be the total height of her completed scale model in centimeters?
3. A scale drawing of a triangular park is made using a scale of 1 cm : 15 m. On the drawing, the triangle has a base of 6.4 cm and a height of 4.8 cm. What is the actual area of the park in square meters?

…and 5 more problems

1. A rectangular garden measures 18 m by 12 m. A scale drawing uses a scale of 1:150. What is the area of the garden in the scale drawing in cm²?
2. Emma is creating a scale drawing of her school's rectangular library for a class project. The actual library measures 45 meters by 30 meters. She wants her drawing to fit on a standard sheet of paper, so she decides to use a scale where 1 centimeter represents 5 meters. What will be the dimensions of her scale drawing in centimeters?
3. Emma is creating a scale drawing of her neighborhood park for a community project. The actual park has a rectangular playground that measures 45 meters by 30 meters. She wants to fit her drawing on a standard poster board that is 60 centimeters wide. If she uses the entire width of the poster board for the longer side of the playground, what scale factor is she using for her drawing?

1. A scale drawing of a rectangular garden uses a scale of 1 cm : 2.5 m. On the drawing, the garden measures 8 cm by 5 cm. What is the actual area of the garden in square meters?
2. A scale model of a rectangular swimming pool uses a scale of 1:150. On the model, the pool measures 12 cm by 8 cm. A similar rectangular hot tub is placed next to the pool. On the same model, the hot tub measures 3 cm by 2 cm. What is the actual area, in square meters, of the hot tub?
3. A scale drawing of a rectangular garden has dimensions 8 cm × 12 cm. If the scale is 1:200, what is the actual area of the garden in square meters?

…and 2 more problems