We are given dimensions of model and actual figure.
model: 9.5cm actual : 30.5m.
We need to find the length of actual shape for the scale factor 5cm.
Let us assume actual length be x m.
Let us set a proportion now.
Let us convert proportion into fractions.
[tex]\frac{5}{x}=\frac{9.5}{30.5}[/tex]
On cross multiplying, we get
9.5x = 5× 30.5
9.5x = 152.5.
On dividing both sides by 9.5, we get
[tex]\frac{9.5x}{9.5}=\frac{152.5}{9.5}[/tex]
x=16.05.
