Answer:
x = 4.5 m ⇒ A
Explanation:
The sides of similar triangles are proportion, that means the ratio between the corresponding sides are equal
In the given figure
∵ The two triangles are similar
∵ 2 m and x are corresponding sides
∵ 4 m and 9 m are corresponding sides
∴
=

→ By using cross multiplication
∴ x × 4 = 2 × 9
∴ 4x = 18
→ Divide both sides by 4 to find x
∵
=

∴ x = 4.5 m