A scale drawing of a school bus has a scale of 1/2 inch to 5 feet. If the length of the school bus is 4 1/2 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning. *

Respuesta :

This is based on simple ratio & scales where a figure on a scale is used to represent the true figure on another scale.

Actual length of bus = 45 ft

  • Now, we are told that;

The scale drawing is given by;

½ inch to represent 5 ft

  • Thus; 4½ inch or [tex]\frac{9}{2}[/tex] inch will represent;  [tex]\frac{\frac{9}{2}*5}{\frac{1}{2}}[/tex]

Simplifying this fraction gives 45 ft

  • Therefore, according to the scale;

4½ inches represents 45 ft

Actual length = 45 ft

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