An urban planner wants to create a city block. The city block will be 50 feet by 75 feet. What will the dimensions of his scale drawing be if the drawing has a scale factor of 1 cm = 12.5 ft?

Respuesta :

Answer:

The dimensions of his scale drawing = 4 cm by 6 cm

Step-by-step explanation:

An urban planner wants to create a city block. The city block will be 50 feet by 75 feet. What will the dimensions of his scale drawing be if the drawing has a scale factor of 1 cm = 12.5 ft?

From the above question

12.5 ft = 1 cm

Hence

For 50 feet

12.5 feet = 1 cm

50 feet = x

Cross Multiply

12.5 × x = 50

x = 50/12.5

x = 4 cm

For 75 feet

12.5 feet = 1 cm

75 feet = x

Cross Multiply

12.5 × x = 75

x = 75/12.5

x = 6 cm

The dimensions of his scale drawing = 4 cm by 6 cm