A set designer builds a model of the stage and the different pieces
of furniture on it. He uses a scale of 5 cm to 1 m.
a) What is the ratio of a length on the model to
a length on the stage?
b) The length of a table is 1.4 m.
What is the length of the model?
c) The height of the model of a lamp is 3 cm.
What is the actual height of the lamp?
d) The height of the model of an ornament is 0.5 cm.
What is the actual height of the ornament?
How did you find out?

Question

Vocaloid · Answer

a) as stated by the problem, 5cm = 1m. so your ratio between model length and stage length is 5cm:1m, or put in the same unit, 5cm:100cm, or 5:100, or 1:20 simplified

b) because model:real = 1:20
model table : real table = 1:20 = x:1.4

1/20 = x/1.4, solve for x

you can try c) and d) on your own. I'll help you out if you get stuck.