Above are two different models of the same triangular-shaped garden. If the height of the model on the left is 14 cm, what is the height of the model on the right?

Question

A.
16 cm
B.
21.5 cm
C.
28 cm
D.
19 cm

Answer 1

A. 16 cm

The height of the model on the right is proportional to the height of the model on the left. Since the height on the left is 14 cm and the height on the right is unknown, we can set up a proportion:

14 cm / x = 21 cm / 16 cm
14x = 336
x = 336 / 14
x = 24 cm

Therefore, the height of the model on the right is 16 cm.