Similar Figures Worksheets Grade 7

1. 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?
2. Liam is designing a scale model of a new playground for his city. The actual playground will be a rectangular area measuring 120 meters by 90 meters. Liam's blueprint uses a scale where 1 centimeter represents 15 meters. What will be the perimeter of the playground on his blueprint, in centimeters?
3. 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?

1. Two similar triangles have corresponding sides in the ratio 2:5. If the perimeter of the smaller triangle is 48 cm, what is the perimeter of the larger triangle?
2. A scale drawing of a rectangular swimming pool has dimensions 4 cm × 6 cm. If the scale is 1:250, what is the actual area of the pool in square meters?
3. Two similar rectangles have corresponding sides in the ratio 4:7. The smaller rectangle has a side length of 12 cm. What is the length of the corresponding side in the larger rectangle?

…and 4 more problems

1. Liam is designing a scale model of a new playground for his town. The actual playground will be a rectangular area measuring 120 feet by 90 feet. Liam's blueprint uses a scale where 1 inch represents 15 feet. What will be the perimeter of the playground on his blueprint, in inches?
2. Aroha is designing a scale model of a rectangular garden. The actual garden is 12 m long and 9 m wide. In her model, the length is 16 cm. What is the width of the model in centimeters?
3. Emma is creating a scale drawing of her school's rectangular library for a history project. The actual library measures 45 meters in length and 30 meters in width. If Emma's drawing has a length of 18 centimeters, what is the width of her drawing in centimeters?

…and 1 more problems