A city planner makes a scale drawing of a new school. The school is 24 mm long in the drawing. The actual length of the school is 96 meters long. What is the scale of the drawing?

1 mm = _____meters

A. 1 mm = 4 m
B. 1 mm = 5 cm
C. 1 mm = 6 cm
D. 1 mm = 8 m

Respuesta :

The scale of the drawing is 1 mm = 4 m A

Step-by-step explanation:

A city planner makes a scale drawing of a new school

  • The school is 24 mm long in the drawing
  • The actual length of the school is 96 meters long

We need to find the scale of drawing

The scale drawing must be represent that 1 mm is equivalent to how many meters, to find that use the ratio method

∵ The drawing length is 24 mm

∵ The actual length is 96 meters

Put the drawing length = 1, to find the actual length equivalent to 1

→  Drawing length (mm)   :    Actual length (m)

→  24                                  :    96

→  1                                     :    x

By using cross multiplication

∵ 24 × x = 1 × 96

∴ 24 x = 96

- Divide both sides by 24

∴ x = 4

∵ x represent the actual scale

∴ 1 mm represents 4 meters

The scale of the drawing is 1 mm = 4 m

Learn more:

You can learn more about the scale drawing in brainly.com/question/570757

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