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the actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m). A coach has drawn a scale model of the field on a blackboard. If the longest side of his drawing is 18 cm, how long is the other side of the drawing( w)?

Respuesta :

MsRay

Answer:

13.5 cm

Step-by-step explanation:

Given the actual width and length of a regulation soccer field, we can set up the following ratio:

[tex]\frac{width}{length}=\frac{90}{120}=\frac{3}{4}[/tex]

Since we know the length of the scale model to be 18 cm, we can set up a proportion (equivalent ratios) to find the missing side:

[tex]\frac{3}{4}=\frac{x}{18}[/tex]

Cross-multiply and divide:  4x = 3(18) or 4x = 54

Solve for x: x = 13.5 cm

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