Answer:
Proportion states that the two equal ratios or fractions are equal.
Use conversion:
1 m = 100 cm
As per the statement:
The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m
⇒Actual length = 120 m and Actual width = 90 m
It is also given that:
A coach has drawn a scale model of the field on a blackboard. If the longest side of his drawing is 18 cm.
⇒ Drawing length = 18 cm = 0.18 m
By definition of proportion:
[tex]\frac{\text{Actual length}}{\text{Actual width}}=\frac{\text{Drawing length}}{\text{Drawing width}}[/tex]
Substitute the given values we have;
[tex]\frac{120}{90}=\frac{0.18}{\text{Drawing width}}[/tex]
By cross multiply we have;
[tex]120 \cdot \text{Drawing width} = 90 \cdot 0.18[/tex]
Simplify:
[tex]120 \cdot \text{Drawing width} =16.2[/tex]
Divide both sides by 120 we get;
[tex]\text{Drawing width} =0.135[/tex] m
Or
[tex]\text{Drawing width} =13.5[/tex] cm
Therefore, the other side of the drawing width is 13.5 cm
