Scale Factors and Area Calculations in Real Life

A model of a building is made at a scale of 1:50. If the height of the model is 2 meters, what is the actual height of the building?

• 100 meters

• 120 meters

• 75 meters

• 50 meters

A map uses a scale of 1 inch to represent 10 miles. If two cities are 3 inches apart on the map, how far apart are they in reality?

• 15 miles

• 20 miles

• 25 miles

• 30 miles

A rectangular garden has a length of 8 meters and a width of 4 meters. If the garden is enlarged by a scale factor of 2, what will be the area of the new garden?

• 32 square meters

• 96 square meters

• 64 square meters

• 128 square meters

A photograph is enlarged by a scale factor of 3. If the original area of the photograph is 20 square inches, what is the area of the enlarged photograph?

• 180 square inches

• 60 square inches

• 90 square inches

• 120 square inches

A blueprint of a park is drawn at a scale of 1:100. If the area of the blueprint is 500 square centimeters, what is the actual area of the park in square meters?

• 1000

• 750

• 500

• 250

A toy car is made at a scale of 1:24. If the length of the toy car is 6 inches, what is the actual length of the car it represents?

• 144 inches

• 72 inches

• 96 inches

• 120 inches

A swimming pool is scaled up by a factor of 1.5. If the original area of the pool is 100 square meters, what is the area of the scaled-up pool?

• 300 square meters

• 200 square meters

• 150 square meters

• 225 square meters

A scale model of a spaceship is built with a scale factor of 1:10. If the model has a volume of 500 cubic centimeters, what is the volume of the actual spaceship?

• 50000 cubic centimeters

• 5000000 cubic centimeters

• 5000 cubic centimeters

• 500000 cubic centimeters

A rectangular field has dimensions of 50 meters by 30 meters. If the field is reduced in size by a scale factor of 0.5, what will be the area of the smaller field?

• 150 square meters

• 100 square meters

• 375 square meters

• 600 square meters

A city planner creates a scale drawing of a new park at a scale of 1:200. If the area of the drawing is 250 square centimeters, what is the actual area of the park in square meters?

• 2000 m²

• 1000 m²

• 500 m²

• 750 m²