A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the building, the height is 25 centimeters. What is the length of the building on the scale drawing in centimeters?

Respuesta :

The length of the building on the scale drawing is found as 16 centimeters.

Describe the term scale factor?

  • The ratio of the scale of an original thing to a new object that is a representation of it but of a specific widths is known as a scale factor (bigger or smaller).
  • Scale factor ratios can be written as a colon, 1:2, or as a fraction, 12. A ratio calculates the difference between two values.
  • However, that ratio isn't a scale factor, thus you could not build a ratio for left-handed pupils to all students.

For the given data in the question-

Dimensions of the building;

  • Height of 125 meter
  • length of 80 meters.

Dimensions of the drawing of the building;

  • height is 25 centimeters
  • Let the length be 'x'.

Thus, taking ratios of Height to length

125/80 = 25/x

On simplification;

x = 80 x 25 / 125

x = 16

Thus, the length of building on the scale drawing is found as 16 centimeters.

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