Scale Factor & Area: 5th Grade Math Challenges

A model of a park is built at a scale of 1:100. If the area of the model park is 50 square meters, what is the actual area of the park in square meters?

• 500000 square meters

• 50,000 square meters

• 5000 square meters

• 500 square meters

A blueprint of a house is drawn with a scale factor of 1:50. If the area of the blueprint is 20 square meters, what is the actual area of the house?

• 200 square meters

• 2500 square meters

• 1000 square meters

• 50000 square meters

A map is created with a scale of 1 inch to 5 miles. If a lake on the map measures 2 inches by 3 inches, what is the actual area of the lake in square miles?

• 200 square miles

• 75 square miles

• 150 square miles

• 100 square miles

A toy car is made 3 times larger than the original. If the area of the original toy car is 4 square inches, what is the area of the larger toy car?

• 12 square inches

• 36 square inches

• 24 square inches

• 48 square inches

A garden is designed to be 2 times larger than the original size. If the original garden has an area of 30 square feet, what will be the area of the new garden?

• 30 square feet

• 45 square feet

• 60 square feet

• 90 square feet

A scale model of a building is made with a scale factor of 1:200. If the model has a length of 10 meters and a width of 5 meters, what is the area of the actual building?

• 2500000 square meters

• 1000000 square meters

• 2000000 square meters

• 500000 square meters

A photograph is enlarged by a scale factor of 4. If the area of the original photograph is 6 square inches, what is the area of the enlarged photograph?

• 24 square inches

• 96 square inches

• 48 square inches

• 36 square inches

A city park is being redesigned to be 1.5 times its original size. If the original park has an area of 80 acres, what will be the area of the redesigned park?

• 100 acres

• 150 acres

• 90 acres

• 120 acres

A rectangular swimming pool is scaled up by a factor of 2. If the original pool has an area of 50 square meters, what is the area of the scaled-up pool?

• 100 square meters

• 200 square meters

• 150 square meters

• 250 square meters

A model airplane is built at a scale of 1:25. If the area of the model is 2 square feet, what is the area of the actual airplane?

• 1000 square feet

• 1250 square feet

• 500 square feet

• 2500 square feet